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<div class="title">dual_quaternion.hpp</div> </div>
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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>&#160;</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="preprocessor">#ifndef GLM_GTX_dual_quaternion</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define GLM_GTX_dual_quaternion</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="comment">// Dependency:</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="preprocessor">#include &quot;../glm.hpp&quot;</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="preprocessor">#include &quot;../gtc/constants.hpp&quot;</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="preprocessor">#include &quot;../gtc/quaternion.hpp&quot;</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="preprocessor">#if(defined(GLM_MESSAGES) &amp;&amp; !defined(GLM_EXT_INCLUDED))</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="preprocessor"></span><span class="preprocessor"># pragma message(&quot;GLM: GLM_GTX_dual_quaternion extension included&quot;)</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="keyword">namespace </span>glm{</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;{</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keyword">struct </span>tdualquat</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keyword">enum</span> ctor{null};</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keyword">typedef</span> glm::detail::tquat&lt;T, P&gt; part_type;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keyword">public</span>:</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; glm::detail::tquat&lt;T, P&gt; real, dual;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; 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>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="comment">// Constructors</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; tdualquat();</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keyword">explicit</span> tdualquat(tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; real);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; tdualquat(tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; real,tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; dual);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; tdualquat(tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; <a class="code" href="a00225.html#ga69a9261c66a81fd52afe8199b30be239">orientation</a>,tvec3&lt;T, P&gt; <span class="keyword">const</span>&amp; translation);</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; </div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="comment">// tdualquat conversions</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keyword">explicit</span> tdualquat(tmat2x4&lt;T, P&gt; <span class="keyword">const</span> &amp; holder_mat);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keyword">explicit</span> tdualquat(tmat3x4&lt;T, P&gt; <span class="keyword">const</span> &amp; aug_mat);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="comment">// Accesses</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; part_type &amp; operator[](<span class="keywordtype">int</span> i);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; part_type <span class="keyword">const</span> &amp; operator[](<span class="keywordtype">int</span> i) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; </div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="comment">// Operators</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; tdualquat&lt;T, P&gt; &amp; operator*=(T <span class="keyword">const</span> &amp; s);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; tdualquat&lt;T, P&gt; &amp; operator/=(T <span class="keyword">const</span> &amp; s);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; };</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; detail::tquat&lt;T, P&gt; operator- (</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; detail::tdualquat&lt;T, P&gt; operator+ (</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; p);</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; detail::tdualquat&lt;T, P&gt; operator* (</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; p);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; detail::tvec3&lt;T, P&gt; operator* (</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; detail::tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; detail::tvec3&lt;T, P&gt; operator* (</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; detail::tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; v,</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; detail::tvec4&lt;T, P&gt; operator* (</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; detail::tvec4&lt;T, P&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; detail::tvec4&lt;T, P&gt; operator* (</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; detail::tvec4&lt;T, P&gt; <span class="keyword">const</span> &amp; v,</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; detail::tdualquat&lt;T, P&gt; operator* (</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; T <span class="keyword">const</span> &amp; s);</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; detail::tdualquat&lt;T, P&gt; operator* (</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; T <span class="keyword">const</span> &amp; s,</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; detail::tdualquat&lt;T, P&gt; operator/ (</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; T <span class="keyword">const</span> &amp; s);</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;} <span class="comment">//namespace detail</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; detail::tdualquat&lt;T, P&gt; <a class="code" href="a00157.html#ga15aa87101457e41663b08a8dcc3357f8">normalize</a>(</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; detail::tdualquat&lt;T, P&gt; <a class="code" href="a00179.html#gafc1c989eaa2c786d34218b176f680fe0">lerp</a>(</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x,</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; y,</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; T <span class="keyword">const</span> &amp; a);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; detail::tdualquat&lt;T, P&gt; <a class="code" href="a00179.html#ga6613ef61cb980a18f19ece5f421564da">inverse</a>(</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <span class="comment">/*</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;<span class="comment"> template &lt;typename T, precision P&gt;</span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;<span class="comment"> detail::tmat3x3&lt;T, P&gt; mat3_cast(</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;<span class="comment"> detail::tdualquat&lt;T, P&gt; const &amp; x);</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; </div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; detail::tmat2x4&lt;T, P&gt; <a class="code" href="a00192.html#gaa22068e2d3adb171fbc6c6260864a53c">mat2x4_cast</a>(</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; detail::tmat3x4&lt;T, P&gt; <a class="code" href="a00192.html#ga9e5bb363690e8c1058f86b39596a7187">mat3x4_cast</a>(</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; detail::tdualquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; detail::tdualquat&lt;T, P&gt; <a class="code" href="a00192.html#ga71e0ed6d5262bfd7f543cd2d29fe87a7">dualquat_cast</a>(</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; detail::tmat2x4&lt;T, P&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; detail::tdualquat&lt;T, P&gt; <a class="code" href="a00192.html#ga71e0ed6d5262bfd7f543cd2d29fe87a7">dualquat_cast</a>(</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; detail::tmat3x4&lt;T, P&gt; <span class="keyword">const</span> &amp; x);</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; </div>
<div class="line"><a name="l00206"></a><span class="lineno"><a class="line" href="a00192.html#gac2071a2010fc57c797972c107008746d"> 206</a></span>&#160; <span class="keyword">typedef</span> detail::tdualquat&lt;float, lowp&gt; <a class="code" href="a00192.html#gac2071a2010fc57c797972c107008746d">lowp_dualquat</a>;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="a00192.html#ga7f89d46a0f8afc57e0d1e0669923f054"> 211</a></span>&#160; <span class="keyword">typedef</span> detail::tdualquat&lt;float, mediump&gt; <a class="code" href="a00192.html#ga7f89d46a0f8afc57e0d1e0669923f054">mediump_dualquat</a>;</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; </div>
<div class="line"><a name="l00216"></a><span class="lineno"><a class="line" href="a00192.html#ga84700df8ceaf0d4c73599a1187542733"> 216</a></span>&#160; <span class="keyword">typedef</span> detail::tdualquat&lt;float, highp&gt; <a class="code" href="a00192.html#ga84700df8ceaf0d4c73599a1187542733">highp_dualquat</a>;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;</div>
<div class="line"><a name="l00222"></a><span class="lineno"><a class="line" href="a00192.html#ga0f59c8a9e27bb796b9502183950eae10"> 222</a></span>&#160; <span class="keyword">typedef</span> detail::tdualquat&lt;float, lowp&gt; <a class="code" href="a00192.html#ga0f59c8a9e27bb796b9502183950eae10">lowp_fdualquat</a>;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; </div>
<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="a00192.html#ga24d0a0efb3b8390bd552477b22827330"> 227</a></span>&#160; <span class="keyword">typedef</span> detail::tdualquat&lt;float, mediump&gt; <a class="code" href="a00192.html#ga24d0a0efb3b8390bd552477b22827330">mediump_fdualquat</a>;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="a00192.html#gad93f87c366787d9d7376e9ff9c8877e7"> 232</a></span>&#160; <span class="keyword">typedef</span> detail::tdualquat&lt;float, highp&gt; <a class="code" href="a00192.html#gad93f87c366787d9d7376e9ff9c8877e7">highp_fdualquat</a>;</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; </div>
<div class="line"><a name="l00238"></a><span class="lineno"><a class="line" href="a00192.html#ga211f861bc1a2b8686d0f0deffee85ad3"> 238</a></span>&#160; <span class="keyword">typedef</span> detail::tdualquat&lt;double, lowp&gt; <a class="code" href="a00192.html#ga211f861bc1a2b8686d0f0deffee85ad3">lowp_ddualquat</a>;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; </div>
<div class="line"><a name="l00243"></a><span class="lineno"><a class="line" href="a00192.html#gaef2f79f0b60477f3308e61a002de8672"> 243</a></span>&#160; <span class="keyword">typedef</span> detail::tdualquat&lt;double, mediump&gt; <a class="code" href="a00192.html#gaef2f79f0b60477f3308e61a002de8672">mediump_ddualquat</a>;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; </div>
<div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="a00192.html#ga763e62ec1e8e9cdfc02e623205cedfec"> 248</a></span>&#160; <span class="keyword">typedef</span> detail::tdualquat&lt;double, highp&gt; <a class="code" href="a00192.html#ga763e62ec1e8e9cdfc02e623205cedfec">highp_ddualquat</a>;</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160;</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;<span class="preprocessor">#if(!defined(GLM_PRECISION_HIGHP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160;<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>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; </div>
<div class="line"><a name="l00260"></a><span class="lineno"><a class="line" href="a00192.html#ga237c2b9b42c9a930e49de5840ae0f930"> 260</a></span>&#160; <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>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;<span class="preprocessor">#elif(defined(GLM_PRECISION_HIGHP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;<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>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <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>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160;<span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) &amp;&amp; defined(GLM_PRECISION_MEDIUMP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160;<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>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <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>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;<span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_FLOAT) &amp;&amp; defined(GLM_PRECISION_LOWP_FLOAT))</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;<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>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; <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>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160;<span class="preprocessor"></span><span class="preprocessor"># error &quot;GLM error: multiple default precision requested for single-precision floating-point types&quot;</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;<span class="preprocessor"></span> </div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;<span class="preprocessor">#if(!defined(GLM_PRECISION_HIGHP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;<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>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160;<span class="preprocessor">#elif(defined(GLM_PRECISION_HIGHP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160;<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>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160;<span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) &amp;&amp; defined(GLM_PRECISION_MEDIUMP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160;<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>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160;<span class="preprocessor">#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) &amp;&amp; !defined(GLM_PRECISION_MEDIUMP_DOUBLE) &amp;&amp; defined(GLM_PRECISION_LOWP_DOUBLE))</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;<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>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;<span class="preprocessor"></span><span class="preprocessor"># error &quot;GLM error: Multiple default precision requested for double-precision floating-point types&quot;</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160;} <span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160;</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160;<span class="preprocessor">#include &quot;dual_quaternion.inl&quot;</span></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;<span class="preprocessor">#endif//GLM_GTX_dual_quaternion</span></div>
<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&lt; float, highp &gt; 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>
<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&lt; T, P &gt; lerp(detail::tquat&lt; T, P &gt; const &amp;x, detail::tquat&lt; T, P &gt; const &amp;y, T const &amp;a)</div><div class="ttdoc">Linear interpolation of two quaternions. </div></div>
<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&lt; T, P &gt; mat3x4_cast(detail::tdualquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 3 * 4 matrix. </div></div>
<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&lt; double, highp &gt; 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>
<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>
<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&lt; double, lowp &gt; 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>
<div class="ttc" id="a00225_html_ga69a9261c66a81fd52afe8199b30be239"><div class="ttname"><a href="a00225.html#ga69a9261c66a81fd52afe8199b30be239">glm::orientation</a></div><div class="ttdeci">detail::tmat4x4&lt; T, P &gt; orientation(detail::tvec3&lt; T, P &gt; const &amp;Normal, detail::tvec3&lt; T, P &gt; const &amp;Up)</div><div class="ttdoc">Build a rotation matrix from a normal and a up vector. </div></div>
<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 &amp;x)</div><div class="ttdoc">Returns a vector in the same direction as x but with length of 1. </div></div>
<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&lt; double, mediump &gt; 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>
<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&lt; float, lowp &gt; 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>
<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 &amp;x)</div><div class="ttdoc">Returns the length of x, i.e., sqrt(x * x). </div></div>
<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&lt; T, P &gt; dualquat_cast(detail::tmat2x4&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a 2 * 4 matrix (matrix which holds real and dual parts) to a quaternion. ...</div></div>
<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>
<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&lt; T, P &gt; mat2x4_cast(detail::tdualquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 2 * 4 matrix. </div></div>
<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&lt; float, mediump &gt; 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>
<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&lt; float, lowp &gt; 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>
<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&lt; float, highp &gt; 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>
<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&lt; float, mediump &gt; 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>
<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>
<div class="ttc" id="a00179_html_ga6613ef61cb980a18f19ece5f421564da"><div class="ttname"><a href="a00179.html#ga6613ef61cb980a18f19ece5f421564da">glm::inverse</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tquat&lt; T, P &gt; inverse(detail::tquat&lt; T, P &gt; const &amp;q)</div><div class="ttdoc">Returns the q inverse. </div></div>
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