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<div class="title">gtx/quaternion.hpp</div> </div>
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<a href="a01591.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="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment">// Dependency:</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &quot;../glm.hpp&quot;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &quot;../gtc/constants.hpp&quot;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#include &quot;../gtc/quaternion.hpp&quot;</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &quot;../ext/quaternion_exponential.hpp&quot;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &quot;../gtx/norm.hpp&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#ifndef GLM_ENABLE_EXPERIMENTAL</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor"># error &quot;GLM: GLM_GTX_quaternion is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it.&quot;</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#elif GLM_MESSAGES == GLM_ENABLE &amp;&amp; !defined(GLM_EXT_INCLUDED)</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor"># pragma message(&quot;GLM: GLM_GTX_quaternion extension included&quot;)</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="keyword">namespace </span>glm</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;{</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="a00962.html#ga77d9e2c313b98a1002a1b12408bf5b45"> 38</a></span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR qua&lt;T, Q&gt; <a class="code" href="a00962.html#ga77d9e2c313b98a1002a1b12408bf5b45">quat_identity</a>();</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="a00962.html#gacbbbf93d24828d6bd9ba48d43abc985e"> 44</a></span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR vec&lt;3, T, Q&gt; <a class="code" href="a00962.html#ga7877a1ec00e43bbfccf6dd11894c0536">cross</a>(</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; q,</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; vec&lt;3, T, Q&gt; <span class="keyword">const</span>&amp; v);</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="a00962.html#ga7877a1ec00e43bbfccf6dd11894c0536"> 52</a></span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR vec&lt;3, T, Q&gt; <a class="code" href="a00962.html#ga7877a1ec00e43bbfccf6dd11894c0536">cross</a>(</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; vec&lt;3, T, Q&gt; <span class="keyword">const</span>&amp; v,</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; q);</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="a00962.html#ga0b9bf3459e132ad8a18fe970669e3e35"> 61</a></span>&#160; GLM_FUNC_DECL qua&lt;T, Q&gt; <a class="code" href="a00962.html#ga0b9bf3459e132ad8a18fe970669e3e35">squad</a>(</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; q1,</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; q2,</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; s1,</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; s2,</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; T <span class="keyword">const</span>&amp; h);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; </div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="a00962.html#gacc5cd5f3e78de61d141c2355417424de"> 72</a></span>&#160; GLM_FUNC_DECL qua&lt;T, Q&gt; <a class="code" href="a00962.html#gacc5cd5f3e78de61d141c2355417424de">intermediate</a>(</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; prev,</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; curr,</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; next);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="comment">//template&lt;typename T, qualifier Q&gt;</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="comment">//qua&lt;T, Q&gt; sqrt(</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="comment">// qua&lt;T, Q&gt; const&amp; q);</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="a00962.html#ga07da6ef58646442efe93b0c273d73776"> 88</a></span>&#160; GLM_FUNC_DECL vec&lt;3, T, Q&gt; <a class="code" href="a00962.html#gafcb78dfff45fbf19a7fcb2bd03fbf196">rotate</a>(</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; q,</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; vec&lt;3, T, Q&gt; <span class="keyword">const</span>&amp; v);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="a00962.html#gafcb78dfff45fbf19a7fcb2bd03fbf196"> 96</a></span>&#160; GLM_FUNC_DECL vec&lt;4, T, Q&gt; <a class="code" href="a00962.html#gafcb78dfff45fbf19a7fcb2bd03fbf196">rotate</a>(</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; q,</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; vec&lt;4, T, Q&gt; <span class="keyword">const</span>&amp; v);</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00104"></a><span class="lineno"><a class="line" href="a00962.html#ga321953c1b2e7befe6f5dcfddbfc6b76b"> 104</a></span>&#160; GLM_FUNC_DECL T <a class="code" href="a00962.html#ga321953c1b2e7befe6f5dcfddbfc6b76b">extractRealComponent</a>(</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; q);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="a00962.html#gac228e3fcfa813841804362fcae02b337"> 111</a></span>&#160; GLM_FUNC_QUALIFIER mat&lt;3, 3, T, Q&gt; <a class="code" href="a00962.html#gac228e3fcfa813841804362fcae02b337">toMat3</a>(</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; x){<span class="keywordflow">return</span> <a class="code" href="a00908.html#ga333ab70047fbe4132406100c292dbc89">mat3_cast</a>(x);}</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</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, qualifier Q&gt;</div>
<div class="line"><a name="l00118"></a><span class="lineno"><a class="line" href="a00962.html#gad0d0c14d7d3c852b41d6a6e4d1da6606"> 118</a></span>&#160; GLM_FUNC_QUALIFIER mat&lt;4, 4, T, Q&gt; <a class="code" href="a00962.html#gad0d0c14d7d3c852b41d6a6e4d1da6606">toMat4</a>(</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; x){<span class="keywordflow">return</span> <a class="code" href="a00908.html#ga1113212d9bdefc2e31ad40e5bbb506f3">mat4_cast</a>(x);}</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="a00962.html#ga7b2be33d948db631c8815e9f2953a451"> 125</a></span>&#160; GLM_FUNC_QUALIFIER qua&lt;T, Q&gt; <a class="code" href="a00962.html#ga4cf12d456770d716b590fd498bce6136">toQuat</a>(</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; mat&lt;3, 3, T, Q&gt; <span class="keyword">const</span>&amp; x){<span class="keywordflow">return</span> <a class="code" href="a00908.html#ga1108a4ab88ca87bac321454eea7702f8">quat_cast</a>(x);}</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00132"></a><span class="lineno"><a class="line" href="a00962.html#ga4cf12d456770d716b590fd498bce6136"> 132</a></span>&#160; GLM_FUNC_QUALIFIER qua&lt;T, Q&gt; <a class="code" href="a00962.html#ga4cf12d456770d716b590fd498bce6136">toQuat</a>(</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; mat&lt;4, 4, T, Q&gt; <span class="keyword">const</span>&amp; x){<span class="keywordflow">return</span> <a class="code" href="a00908.html#ga1108a4ab88ca87bac321454eea7702f8">quat_cast</a>(x);}</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00139"></a><span class="lineno"><a class="line" href="a00962.html#gadc576cc957adc2a568cdcbc3799175bc"> 139</a></span>&#160; GLM_FUNC_DECL qua&lt;T, Q&gt; <a class="code" href="a00962.html#gadc576cc957adc2a568cdcbc3799175bc">shortMix</a>(</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; x,</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; y,</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; T <span class="keyword">const</span>&amp; a);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="a00962.html#ga264e10708d58dd0ff53b7902a2bd2561"> 148</a></span>&#160; GLM_FUNC_DECL qua&lt;T, Q&gt; <a class="code" href="a00962.html#ga264e10708d58dd0ff53b7902a2bd2561">fastMix</a>(</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; x,</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; y,</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; T <span class="keyword">const</span>&amp; a);</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00159"></a><span class="lineno"><a class="line" href="a00962.html#ga03e61282831cc3f52cc76f72f52ad2c5"> 159</a></span>&#160; GLM_FUNC_DECL qua&lt;T, Q&gt; <a class="code" href="a00962.html#ga03e61282831cc3f52cc76f72f52ad2c5">rotation</a>(</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; vec&lt;3, T, Q&gt; <span class="keyword">const</span>&amp; orig,</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; vec&lt;3, T, Q&gt; <span class="keyword">const</span>&amp; dest);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00167"></a><span class="lineno"><a class="line" href="a00962.html#ga08eb643306c5ba9211a81b322bc89543"> 167</a></span>&#160; GLM_FUNC_DECL GLM_CONSTEXPR T <a class="code" href="a00962.html#ga08eb643306c5ba9211a81b322bc89543">length2</a>(qua&lt;T, Q&gt; <span class="keyword">const</span>&amp; q);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;}<span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="preprocessor">#include &quot;quaternion.inl&quot;</span></div>
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<div class="ttc" id="aa00962_html_ga08eb643306c5ba9211a81b322bc89543"><div class="ttname"><a href="a00962.html#ga08eb643306c5ba9211a81b322bc89543">glm::length2</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR T length2(qua&lt; T, Q &gt; const &amp;q)</div><div class="ttdoc">Returns the squared length of x.</div></div>
<div class="ttc" id="aa00962_html_ga321953c1b2e7befe6f5dcfddbfc6b76b"><div class="ttname"><a href="a00962.html#ga321953c1b2e7befe6f5dcfddbfc6b76b">glm::extractRealComponent</a></div><div class="ttdeci">GLM_FUNC_DECL T extractRealComponent(qua&lt; T, Q &gt; const &amp;q)</div><div class="ttdoc">Extract the real component of a quaternion.</div></div>
<div class="ttc" id="aa00962_html_gadc576cc957adc2a568cdcbc3799175bc"><div class="ttname"><a href="a00962.html#gadc576cc957adc2a568cdcbc3799175bc">glm::shortMix</a></div><div class="ttdeci">GLM_FUNC_DECL qua&lt; T, Q &gt; shortMix(qua&lt; T, Q &gt; const &amp;x, qua&lt; T, Q &gt; const &amp;y, T const &amp;a)</div><div class="ttdoc">Quaternion interpolation using the rotation short path.</div></div>
<div class="ttc" id="aa00962_html_gacc5cd5f3e78de61d141c2355417424de"><div class="ttname"><a href="a00962.html#gacc5cd5f3e78de61d141c2355417424de">glm::intermediate</a></div><div class="ttdeci">GLM_FUNC_DECL qua&lt; T, Q &gt; intermediate(qua&lt; T, Q &gt; const &amp;prev, qua&lt; T, Q &gt; const &amp;curr, qua&lt; T, Q &gt; const &amp;next)</div><div class="ttdoc">Returns an intermediate control point for squad interpolation.</div></div>
<div class="ttc" id="aa00962_html_ga03e61282831cc3f52cc76f72f52ad2c5"><div class="ttname"><a href="a00962.html#ga03e61282831cc3f52cc76f72f52ad2c5">glm::rotation</a></div><div class="ttdeci">GLM_FUNC_DECL qua&lt; T, Q &gt; rotation(vec&lt; 3, T, Q &gt; const &amp;orig, vec&lt; 3, T, Q &gt; const &amp;dest)</div><div class="ttdoc">Compute the rotation between two vectors.</div></div>
<div class="ttc" id="aa00962_html_gad0d0c14d7d3c852b41d6a6e4d1da6606"><div class="ttname"><a href="a00962.html#gad0d0c14d7d3c852b41d6a6e4d1da6606">glm::toMat4</a></div><div class="ttdeci">GLM_FUNC_QUALIFIER mat&lt; 4, 4, T, Q &gt; toMat4(qua&lt; T, Q &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 4 * 4 matrix.</div><div class="ttdef"><b>Definition:</b> <a href="a01591_source.html#l00118">gtx/quaternion.hpp:118</a></div></div>
<div class="ttc" id="aa00908_html_ga333ab70047fbe4132406100c292dbc89"><div class="ttname"><a href="a00908.html#ga333ab70047fbe4132406100c292dbc89">glm::mat3_cast</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 3, 3, T, Q &gt; mat3_cast(qua&lt; T, Q &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 3 * 3 matrix.</div></div>
<div class="ttc" id="aa00962_html_ga0b9bf3459e132ad8a18fe970669e3e35"><div class="ttname"><a href="a00962.html#ga0b9bf3459e132ad8a18fe970669e3e35">glm::squad</a></div><div class="ttdeci">GLM_FUNC_DECL qua&lt; T, Q &gt; squad(qua&lt; T, Q &gt; const &amp;q1, qua&lt; T, Q &gt; const &amp;q2, qua&lt; T, Q &gt; const &amp;s1, qua&lt; T, Q &gt; const &amp;s2, T const &amp;h)</div><div class="ttdoc">Compute a point on a path according squad equation.</div></div>
<div class="ttc" id="aa00962_html_gac228e3fcfa813841804362fcae02b337"><div class="ttname"><a href="a00962.html#gac228e3fcfa813841804362fcae02b337">glm::toMat3</a></div><div class="ttdeci">GLM_FUNC_QUALIFIER mat&lt; 3, 3, T, Q &gt; toMat3(qua&lt; T, Q &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 3 * 3 matrix.</div><div class="ttdef"><b>Definition:</b> <a href="a01591_source.html#l00111">gtx/quaternion.hpp:111</a></div></div>
<div class="ttc" id="aa00908_html_ga1108a4ab88ca87bac321454eea7702f8"><div class="ttname"><a href="a00908.html#ga1108a4ab88ca87bac321454eea7702f8">glm::quat_cast</a></div><div class="ttdeci">GLM_FUNC_DECL qua&lt; T, Q &gt; quat_cast(mat&lt; 3, 3, T, Q &gt; const &amp;x)</div><div class="ttdoc">Converts a pure rotation 3 * 3 matrix to a quaternion.</div></div>
<div class="ttc" id="aa00962_html_gafcb78dfff45fbf19a7fcb2bd03fbf196"><div class="ttname"><a href="a00962.html#gafcb78dfff45fbf19a7fcb2bd03fbf196">glm::rotate</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; 4, T, Q &gt; rotate(qua&lt; T, Q &gt; const &amp;q, vec&lt; 4, T, Q &gt; const &amp;v)</div><div class="ttdoc">Rotates a 4 components vector by a quaternion.</div></div>
<div class="ttc" id="aa00962_html_ga264e10708d58dd0ff53b7902a2bd2561"><div class="ttname"><a href="a00962.html#ga264e10708d58dd0ff53b7902a2bd2561">glm::fastMix</a></div><div class="ttdeci">GLM_FUNC_DECL qua&lt; T, Q &gt; fastMix(qua&lt; T, Q &gt; const &amp;x, qua&lt; T, Q &gt; const &amp;y, T const &amp;a)</div><div class="ttdoc">Quaternion normalized linear interpolation.</div></div>
<div class="ttc" id="aa00908_html_ga1113212d9bdefc2e31ad40e5bbb506f3"><div class="ttname"><a href="a00908.html#ga1113212d9bdefc2e31ad40e5bbb506f3">glm::mat4_cast</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, Q &gt; mat4_cast(qua&lt; T, Q &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 4 * 4 matrix.</div></div>
<div class="ttc" id="aa00962_html_ga77d9e2c313b98a1002a1b12408bf5b45"><div class="ttname"><a href="a00962.html#ga77d9e2c313b98a1002a1b12408bf5b45">glm::quat_identity</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR qua&lt; T, Q &gt; quat_identity()</div><div class="ttdoc">Create an identity quaternion.</div></div>
<div class="ttc" id="aa00962_html_ga7877a1ec00e43bbfccf6dd11894c0536"><div class="ttname"><a href="a00962.html#ga7877a1ec00e43bbfccf6dd11894c0536">glm::cross</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR vec&lt; 3, T, Q &gt; cross(vec&lt; 3, T, Q &gt; const &amp;v, qua&lt; T, Q &gt; const &amp;q)</div><div class="ttdoc">Compute a cross product between a vector and a quaternion.</div></div>
<div class="ttc" id="aa00962_html_ga4cf12d456770d716b590fd498bce6136"><div class="ttname"><a href="a00962.html#ga4cf12d456770d716b590fd498bce6136">glm::toQuat</a></div><div class="ttdeci">GLM_FUNC_QUALIFIER qua&lt; T, Q &gt; toQuat(mat&lt; 4, 4, T, Q &gt; const &amp;x)</div><div class="ttdoc">Converts a 4 * 4 matrix to a quaternion.</div><div class="ttdef"><b>Definition:</b> <a href="a01591_source.html#l00132">gtx/quaternion.hpp:132</a></div></div>
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