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 <span id="projectnumber">0.9.5</span>
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<div class="title">dual_quaternion.hpp</div> </div>
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</div><!--header-->
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<div class="contents">
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<a href="a00021.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="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#ifndef GLM_GTX_dual_quaternion</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor"></span><span class="preprocessor">#define GLM_GTX_dual_quaternion</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// Dependency:</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "../glm.hpp"</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include "../gtc/constants.hpp"</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#include "../gtc/quaternion.hpp"</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor"></span><span class="preprocessor"># pragma message("GLM: GLM_GTX_dual_quaternion extension 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">#endif</span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="keyword">namespace </span>glm{</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">namespace </span>detail</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> {</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">struct </span>tdualquat</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="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">enum</span> ctor{null};</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">typedef</span> glm::detail::tquat<T, P> part_type;</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  glm::detail::tquat<T, P> real, dual;</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  GLM_FUNC_DECL GLM_CONSTEXPR <span class="keywordtype">int</span> <a class="code" href="a00157.html#ga03b2831439defb8922832b540b91b8a7">length</a>() <span class="keyword">const</span>;</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// Constructors</span></div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  tdualquat();</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">explicit</span> tdualquat(tquat<T, P> <span class="keyword">const</span> & real);</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  tdualquat(tquat<T, P> <span class="keyword">const</span> & real,tquat<T, P> <span class="keyword">const</span> & dual);</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  tdualquat(tquat<T, P> <span class="keyword">const</span> & <a class="code" href="a00225.html#ga69a9261c66a81fd52afe8199b30be239">orientation</a>,tvec3<T, P> <span class="keyword">const</span>& translation);</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// tdualquat conversions</span></div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keyword">explicit</span> tdualquat(tmat2x4<T, P> <span class="keyword">const</span> & holder_mat);</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">explicit</span> tdualquat(tmat3x4<T, P> <span class="keyword">const</span> & aug_mat);</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">// Accesses</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  part_type & operator[](<span class="keywordtype">int</span> i);</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  part_type <span class="keyword">const</span> & operator[](<span class="keywordtype">int</span> i) <span class="keyword">const</span>;</div>
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<div class="line"><a name="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="comment">// Operators</span></div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  tdualquat<T, P> & operator*=(T <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  tdualquat<T, P> & operator/=(T <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  };</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  detail::tquat<T, P> operator- (</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  detail::tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  detail::tdualquat<T, P> operator+ (</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & p);</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="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  detail::tdualquat<T, P> operator* (</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & p);</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  detail::tvec3<T, P> operator* (</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  detail::tquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  detail::tvec3<T, P> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  detail::tvec3<T, P> operator* (</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  detail::tvec3<T, P> <span class="keyword">const</span> & v,</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  detail::tquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  detail::tvec4<T, P> operator* (</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  detail::tquat<T, P> <span class="keyword">const</span> & q,</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  detail::tvec4<T, P> <span class="keyword">const</span> & v);</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  </div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  detail::tvec4<T, P> operator* (</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  detail::tvec4<T, P> <span class="keyword">const</span> & v,</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  detail::tquat<T, 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>  detail::tdualquat<T, P> operator* (</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  detail::tdualquat<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>  T <span class="keyword">const</span> & s);</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>  detail::tdualquat<T, P> operator* (</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  T <span class="keyword">const</span> & s,</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  </div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  detail::tdualquat<T, P> operator/ (</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  detail::tdualquat<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>  T <span class="keyword">const</span> & s);</div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> } <span class="comment">//namespace detail</span></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="l00140"></a><span class="lineno"> 140</span> </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> T, precision P></div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  detail::tdualquat<T, P> <a class="code" href="a00157.html#ga15aa87101457e41663b08a8dcc3357f8">normalize</a>(</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> </div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  detail::tdualquat<T, P> <a class="code" href="a00179.html#gafc1c989eaa2c786d34218b176f680fe0">lerp</a>(</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & x,</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & y,</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  T <span class="keyword">const</span> & a);</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  detail::tdualquat<T, P> <a class="code" href="a00159.html#ga7635d3dbe5aa10ff73a0e6903bf6bea5">inverse</a>(</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & q);</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="comment">/*</span></div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment"> template <typename T, precision P></span></div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment"> detail::tmat3x3<T, P> mat3_cast(</span></div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment"> detail::tdualquat<T, P> const & x);</span></div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment"> */</span></div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  </div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  detail::tmat2x4<T, P> <a class="code" href="a00192.html#gaa22068e2d3adb171fbc6c6260864a53c">mat2x4_cast</a>(</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> </div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  detail::tmat3x4<T, P> <a class="code" href="a00192.html#ga9e5bb363690e8c1058f86b39596a7187">mat3x4_cast</a>(</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  detail::tdualquat<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  detail::tdualquat<T, P> <a class="code" href="a00192.html#ga71e0ed6d5262bfd7f543cd2d29fe87a7">dualquat_cast</a>(</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  detail::tmat2x4<T, P> <span class="keyword">const</span> & x);</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T, precision P></div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  detail::tdualquat<T, P> <a class="code" href="a00192.html#ga71e0ed6d5262bfd7f543cd2d29fe87a7">dualquat_cast</a>(</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  detail::tmat3x4<T, P> <span class="keyword">const</span> & x);</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="l00202"></a><span class="lineno"> 202</span>  </div>
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<div class="line"><a name="l00206"></a><span class="lineno"><a class="line" href="a00192.html#gac2071a2010fc57c797972c107008746d"> 206</a></span>  <span class="keyword">typedef</span> detail::tdualquat<float, lowp> <a class="code" href="a00192.html#gac2071a2010fc57c797972c107008746d">lowp_dualquat</a>;</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  </div>
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<div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="a00192.html#ga7f89d46a0f8afc57e0d1e0669923f054"> 211</a></span>  <span class="keyword">typedef</span> detail::tdualquat<float, mediump> <a class="code" href="a00192.html#ga7f89d46a0f8afc57e0d1e0669923f054">mediump_dualquat</a>;</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  </div>
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<div class="line"><a name="l00216"></a><span class="lineno"><a class="line" href="a00192.html#ga84700df8ceaf0d4c73599a1187542733"> 216</a></span>  <span class="keyword">typedef</span> detail::tdualquat<float, highp> <a class="code" href="a00192.html#ga84700df8ceaf0d4c73599a1187542733">highp_dualquat</a>;</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div>
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<div class="line"><a name="l00222"></a><span class="lineno"><a class="line" href="a00192.html#ga0f59c8a9e27bb796b9502183950eae10"> 222</a></span>  <span class="keyword">typedef</span> detail::tdualquat<float, lowp> <a class="code" href="a00192.html#ga0f59c8a9e27bb796b9502183950eae10">lowp_fdualquat</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="l00227"></a><span class="lineno"><a class="line" href="a00192.html#ga24d0a0efb3b8390bd552477b22827330"> 227</a></span>  <span class="keyword">typedef</span> detail::tdualquat<float, mediump> <a class="code" href="a00192.html#ga24d0a0efb3b8390bd552477b22827330">mediump_fdualquat</a>;</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  </div>
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<div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="a00192.html#gad93f87c366787d9d7376e9ff9c8877e7"> 232</a></span>  <span class="keyword">typedef</span> detail::tdualquat<float, highp> <a class="code" href="a00192.html#gad93f87c366787d9d7376e9ff9c8877e7">highp_fdualquat</a>;</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  </div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
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<div class="line"><a name="l00238"></a><span class="lineno"><a class="line" href="a00192.html#ga211f861bc1a2b8686d0f0deffee85ad3"> 238</a></span>  <span class="keyword">typedef</span> detail::tdualquat<double, lowp> <a class="code" href="a00192.html#ga211f861bc1a2b8686d0f0deffee85ad3">lowp_ddualquat</a>;</div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  </div>
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<div class="line"><a name="l00243"></a><span class="lineno"><a class="line" href="a00192.html#gaef2f79f0b60477f3308e61a002de8672"> 243</a></span>  <span class="keyword">typedef</span> detail::tdualquat<double, mediump> <a class="code" href="a00192.html#gaef2f79f0b60477f3308e61a002de8672">mediump_ddualquat</a>;</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  </div>
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<div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="a00192.html#ga763e62ec1e8e9cdfc02e623205cedfec"> 248</a></span>  <span class="keyword">typedef</span> detail::tdualquat<double, highp> <a class="code" href="a00192.html#ga763e62ec1e8e9cdfc02e623205cedfec">highp_ddualquat</a>;</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> </div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  </div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="preprocessor">#if(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="preprocessor"></span> <span class="keyword">typedef</span> <a class="code" href="a00192.html#gad93f87c366787d9d7376e9ff9c8877e7">highp_fdualquat</a> <a class="code" href="a00192.html#gae93abee0c979902fbec6a7bee0f6fae1">dualquat</a>;</div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  </div>
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<div class="line"><a name="l00260"></a><span class="lineno"><a class="line" href="a00192.html#ga237c2b9b42c9a930e49de5840ae0f930"> 260</a></span>  <span class="keyword">typedef</span> <a class="code" href="a00192.html#gad93f87c366787d9d7376e9ff9c8877e7">highp_fdualquat</a> <a class="code" href="a00192.html#ga237c2b9b42c9a930e49de5840ae0f930">fdualquat</a>;</div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="preprocessor">#elif(defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="preprocessor"></span> <span class="keyword">typedef</span> <a class="code" href="a00192.html#gad93f87c366787d9d7376e9ff9c8877e7">highp_fdualquat</a> <a class="code" href="a00192.html#gae93abee0c979902fbec6a7bee0f6fae1">dualquat</a>;</div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keyword">typedef</span> <a class="code" href="a00192.html#gad93f87c366787d9d7376e9ff9c8877e7">highp_fdualquat</a> <a class="code" href="a00192.html#ga237c2b9b42c9a930e49de5840ae0f930">fdualquat</a>;</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="preprocessor"></span> <span class="keyword">typedef</span> <a class="code" href="a00192.html#ga24d0a0efb3b8390bd552477b22827330">mediump_fdualquat</a> <a class="code" href="a00192.html#gae93abee0c979902fbec6a7bee0f6fae1">dualquat</a>;</div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="keyword">typedef</span> <a class="code" href="a00192.html#ga24d0a0efb3b8390bd552477b22827330">mediump_fdualquat</a> <a class="code" href="a00192.html#ga237c2b9b42c9a930e49de5840ae0f930">fdualquat</a>;</div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="preprocessor"></span> <span class="keyword">typedef</span> <a class="code" href="a00192.html#ga0f59c8a9e27bb796b9502183950eae10">lowp_fdualquat</a> <a class="code" href="a00192.html#gae93abee0c979902fbec6a7bee0f6fae1">dualquat</a>;</div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keyword">typedef</span> <a class="code" href="a00192.html#ga0f59c8a9e27bb796b9502183950eae10">lowp_fdualquat</a> <a class="code" href="a00192.html#ga237c2b9b42c9a930e49de5840ae0f930">fdualquat</a>;</div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="preprocessor"></span><span class="preprocessor"># error "GLM error: multiple default precision requested for single-precision floating-point types"</span></div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="preprocessor"></span> </div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> </div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="preprocessor">#if(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="preprocessor"></span> <span class="keyword">typedef</span> <a class="code" href="a00192.html#ga763e62ec1e8e9cdfc02e623205cedfec">highp_ddualquat</a> <a class="code" href="a00192.html#ga3d71f98d84ba59dfe4e369fde4714cd6">ddualquat</a>;</div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> <span class="preprocessor">#elif(defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="preprocessor"></span> <span class="keyword">typedef</span> <a class="code" href="a00192.html#ga763e62ec1e8e9cdfc02e623205cedfec">highp_ddualquat</a> <a class="code" href="a00192.html#ga3d71f98d84ba59dfe4e369fde4714cd6">ddualquat</a>;</div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="preprocessor"></span> <span class="keyword">typedef</span> <a class="code" href="a00192.html#gaef2f79f0b60477f3308e61a002de8672">mediump_ddualquat</a> <a class="code" href="a00192.html#ga3d71f98d84ba59dfe4e369fde4714cd6">ddualquat</a>;</div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> <span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="preprocessor"></span> <span class="keyword">typedef</span> <a class="code" href="a00192.html#ga211f861bc1a2b8686d0f0deffee85ad3">lowp_ddualquat</a> <a class="code" href="a00192.html#ga3d71f98d84ba59dfe4e369fde4714cd6">ddualquat</a>;</div>
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="preprocessor"></span><span class="preprocessor"># error "GLM error: Multiple default precision requested for double-precision floating-point types"</span></div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="preprocessor"></span></div>
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<div class="line"><a name="l00291"></a><span class="lineno"> 291</span> } <span class="comment">//namespace glm</span></div>
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<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> </div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="preprocessor">#include "dual_quaternion.inl"</span></div>
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<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> </div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="preprocessor">#endif//GLM_GTX_dual_quaternion</span></div>
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<div class="ttc" id="a00192_html_ga84700df8ceaf0d4c73599a1187542733"><div class="ttname"><a href="a00192.html#ga84700df8ceaf0d4c73599a1187542733">glm::highp_dualquat</a></div><div class="ttdeci">detail::tdualquat< float, highp > highp_dualquat</div><div class="ttdoc">Dual-quaternion of high single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00216">dual_quaternion.hpp:216</a></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="a00192_html_ga9e5bb363690e8c1058f86b39596a7187"><div class="ttname"><a href="a00192.html#ga9e5bb363690e8c1058f86b39596a7187">glm::mat3x4_cast</a></div><div class="ttdeci">detail::tmat3x4< T, P > mat3x4_cast(detail::tdualquat< T, P > const &x)</div><div class="ttdoc">Converts a quaternion to a 3 * 4 matrix. </div></div>
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<div class="ttc" id="a00192_html_ga763e62ec1e8e9cdfc02e623205cedfec"><div class="ttname"><a href="a00192.html#ga763e62ec1e8e9cdfc02e623205cedfec">glm::highp_ddualquat</a></div><div class="ttdeci">detail::tdualquat< double, highp > highp_ddualquat</div><div class="ttdoc">Dual-quaternion of high double-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00248">dual_quaternion.hpp:248</a></div></div>
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<div class="ttc" id="a00192_html_ga237c2b9b42c9a930e49de5840ae0f930"><div class="ttname"><a href="a00192.html#ga237c2b9b42c9a930e49de5840ae0f930">glm::fdualquat</a></div><div class="ttdeci">highp_fdualquat fdualquat</div><div class="ttdoc">Dual-quaternion of single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00260">dual_quaternion.hpp:260</a></div></div>
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<div class="ttc" id="a00192_html_ga211f861bc1a2b8686d0f0deffee85ad3"><div class="ttname"><a href="a00192.html#ga211f861bc1a2b8686d0f0deffee85ad3">glm::lowp_ddualquat</a></div><div class="ttdeci">detail::tdualquat< double, lowp > lowp_ddualquat</div><div class="ttdoc">Dual-quaternion of low double-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00238">dual_quaternion.hpp:238</a></div></div>
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<div class="ttc" id="a00225_html_ga69a9261c66a81fd52afe8199b30be239"><div class="ttname"><a href="a00225.html#ga69a9261c66a81fd52afe8199b30be239">glm::orientation</a></div><div class="ttdeci">detail::tmat4x4< T, P > orientation(detail::tvec3< T, P > const &Normal, detail::tvec3< T, P > const &Up)</div><div class="ttdoc">Build a rotation matrix from a normal and a up vector. </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="a00192_html_gaef2f79f0b60477f3308e61a002de8672"><div class="ttname"><a href="a00192.html#gaef2f79f0b60477f3308e61a002de8672">glm::mediump_ddualquat</a></div><div class="ttdeci">detail::tdualquat< double, mediump > mediump_ddualquat</div><div class="ttdoc">Dual-quaternion of medium double-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00243">dual_quaternion.hpp:243</a></div></div>
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<div class="ttc" id="a00192_html_gac2071a2010fc57c797972c107008746d"><div class="ttname"><a href="a00192.html#gac2071a2010fc57c797972c107008746d">glm::lowp_dualquat</a></div><div class="ttdeci">detail::tdualquat< float, lowp > lowp_dualquat</div><div class="ttdoc">Dual-quaternion of low single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00206">dual_quaternion.hpp:206</a></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="a00159_html_ga7635d3dbe5aa10ff73a0e6903bf6bea5"><div class="ttname"><a href="a00159.html#ga7635d3dbe5aa10ff73a0e6903bf6bea5">glm::inverse</a></div><div class="ttdeci">GLM_FUNC_DECL matType< T, P > inverse(matType< T, P > const &m)</div><div class="ttdoc">Return the inverse of a squared matrix. </div></div>
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<div class="ttc" id="a00192_html_ga71e0ed6d5262bfd7f543cd2d29fe87a7"><div class="ttname"><a href="a00192.html#ga71e0ed6d5262bfd7f543cd2d29fe87a7">glm::dualquat_cast</a></div><div class="ttdeci">detail::tdualquat< T, P > dualquat_cast(detail::tmat2x4< T, P > const &x)</div><div class="ttdoc">Converts a 2 * 4 matrix (matrix which holds real and dual parts) to a quaternion. ...</div></div>
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<div class="ttc" id="a00192_html_ga3d71f98d84ba59dfe4e369fde4714cd6"><div class="ttname"><a href="a00192.html#ga3d71f98d84ba59dfe4e369fde4714cd6">glm::ddualquat</a></div><div class="ttdeci">highp_ddualquat ddualquat</div><div class="ttdoc">Dual-quaternion of default double-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00279">dual_quaternion.hpp:279</a></div></div>
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<div class="ttc" id="a00192_html_gaa22068e2d3adb171fbc6c6260864a53c"><div class="ttname"><a href="a00192.html#gaa22068e2d3adb171fbc6c6260864a53c">glm::mat2x4_cast</a></div><div class="ttdeci">detail::tmat2x4< T, P > mat2x4_cast(detail::tdualquat< T, P > const &x)</div><div class="ttdoc">Converts a quaternion to a 2 * 4 matrix. </div></div>
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<div class="ttc" id="a00192_html_ga24d0a0efb3b8390bd552477b22827330"><div class="ttname"><a href="a00192.html#ga24d0a0efb3b8390bd552477b22827330">glm::mediump_fdualquat</a></div><div class="ttdeci">detail::tdualquat< float, mediump > mediump_fdualquat</div><div class="ttdoc">Dual-quaternion of medium single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00227">dual_quaternion.hpp:227</a></div></div>
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<div class="ttc" id="a00192_html_ga0f59c8a9e27bb796b9502183950eae10"><div class="ttname"><a href="a00192.html#ga0f59c8a9e27bb796b9502183950eae10">glm::lowp_fdualquat</a></div><div class="ttdeci">detail::tdualquat< float, lowp > lowp_fdualquat</div><div class="ttdoc">Dual-quaternion of low single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00222">dual_quaternion.hpp:222</a></div></div>
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<div class="ttc" id="a00192_html_gad93f87c366787d9d7376e9ff9c8877e7"><div class="ttname"><a href="a00192.html#gad93f87c366787d9d7376e9ff9c8877e7">glm::highp_fdualquat</a></div><div class="ttdeci">detail::tdualquat< float, highp > highp_fdualquat</div><div class="ttdoc">Dual-quaternion of high single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00232">dual_quaternion.hpp:232</a></div></div>
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<div class="ttc" id="a00192_html_ga7f89d46a0f8afc57e0d1e0669923f054"><div class="ttname"><a href="a00192.html#ga7f89d46a0f8afc57e0d1e0669923f054">glm::mediump_dualquat</a></div><div class="ttdeci">detail::tdualquat< float, mediump > mediump_dualquat</div><div class="ttdoc">Dual-quaternion of medium single-precision floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00211">dual_quaternion.hpp:211</a></div></div>
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<div class="ttc" id="a00192_html_gae93abee0c979902fbec6a7bee0f6fae1"><div class="ttname"><a href="a00192.html#gae93abee0c979902fbec6a7bee0f6fae1">glm::dualquat</a></div><div class="ttdeci">highp_fdualquat dualquat</div><div class="ttdoc">Dual-quaternion of floating-point numbers. </div><div class="ttdef"><b>Definition:</b> <a href="a00021_source.html#l00255">dual_quaternion.hpp:255</a></div></div>
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