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<div class="title">gtx/quaternion.hpp</div> </div>
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<a href="a00099.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="l00039"></a><span class="lineno"> 39</span>&#160;<span class="preprocessor">#ifndef GLM_GTX_quaternion</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define GLM_GTX_quaternion</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="comment">// Dependency:</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="preprocessor">#include &quot;../glm.hpp&quot;</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="preprocessor">#include &quot;../gtc/constants.hpp&quot;</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="preprocessor">#include &quot;../gtc/quaternion.hpp&quot;</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="preprocessor">#include &quot;../gtx/norm.hpp&quot;</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="preprocessor">#if(defined(GLM_MESSAGES) &amp;&amp; !defined(GLM_EXT_INCLUDED))</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="preprocessor"></span><span class="preprocessor"># pragma message(&quot;GLM: GLM_GTX_quaternion extension included&quot;)</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="keyword">namespace </span>glm</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;{</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</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, precision P&gt;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; detail::tvec3&lt;T, P&gt; <a class="code" href="a00157.html#ga89b91c2a256cfb62ecbc589d1ee36d3c">cross</a>(</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; detail::tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; detail::tvec3&lt;T, P&gt; <a class="code" href="a00157.html#ga89b91c2a256cfb62ecbc589d1ee36d3c">cross</a>(</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; detail::tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; v,</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; detail::tquat&lt;T, P&gt; <a class="code" href="a00222.html#ga520a86d7a47f0c987e7e1c4949558f80">squad</a>(</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q1,</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q2,</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; s1,</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; s2,</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; T <span class="keyword">const</span> &amp; h);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</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; <a class="code" href="a00222.html#ga756698e0119b7b0aa408990c85ffe57a">intermediate</a>(</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; prev,</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; curr,</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; next);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</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::tquat&lt;T, P&gt; <a class="code" href="a00156.html#gae154699ba6bda068d4b87cf9b987381f">exp</a>(</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; detail::tquat&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;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; detail::tquat&lt;T, P&gt; <a class="code" href="a00156.html#ga0c8da2d2921da250e8700ac4476916a1">log</a>(</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; detail::tquat&lt;T, P&gt; <a class="code" href="a00156.html#ga1ce4b2fddd26d0d3a35a8d98f37f3ac0">pow</a>(</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x,</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; T <span class="keyword">const</span> &amp; y);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="comment">//template&lt;typename T, precision P&gt;</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="comment">//detail::tquat&lt;T, P&gt; sqrt(</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="comment">// detail::tquat&lt;T, P&gt; const &amp; q);</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; detail::tvec3&lt;T, P&gt; <a class="code" href="a00176.html#ga61e65a3bb227c267d1a15113d1056fb1">rotate</a>(</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; detail::tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; detail::tvec4&lt;T, P&gt; <a class="code" href="a00176.html#ga61e65a3bb227c267d1a15113d1056fb1">rotate</a>(</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q,</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; detail::tvec4&lt;T, P&gt; <span class="keyword">const</span> &amp; v);</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; T <a class="code" href="a00222.html#gabad3e53891fb524593d321e0a94fe5b9">extractRealComponent</a>(</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00150"></a><span class="lineno"><a class="line" href="a00222.html#ga28c762d44cbd532b8fa256c12bbc80d2"> 150</a></span>&#160; detail::tmat3x3&lt;T, P&gt; <a class="code" href="a00222.html#ga28c762d44cbd532b8fa256c12bbc80d2">toMat3</a>(</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x){<span class="keywordflow">return</span> <a class="code" href="a00179.html#ga65257c3494022ad80a50ce11da95049d">mat3_cast</a>(x);}</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="a00222.html#ga9f5ed797b672be7f87648c542ddd71d9"> 157</a></span>&#160; detail::tmat4x4&lt;T, P&gt; <a class="code" href="a00222.html#ga9f5ed797b672be7f87648c542ddd71d9">toMat4</a>(</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x){<span class="keywordflow">return</span> <a class="code" href="a00179.html#gafc4e34c836f7ccb5f3bb2a0373c831e0">mat4_cast</a>(x);}</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="a00222.html#ga7e07dad45836ac90c218a73b6310e9dc"> 164</a></span>&#160; detail::tquat&lt;T, P&gt; <a class="code" href="a00222.html#ga7e07dad45836ac90c218a73b6310e9dc">toQuat</a>(</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; detail::tmat3x3&lt;T, P&gt; <span class="keyword">const</span> &amp; x){<span class="keywordflow">return</span> <a class="code" href="a00179.html#gafb826745dedb1760100bbd25d0f63fde">quat_cast</a>(x);}</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="line" href="a00222.html#ga02d70b959b5ec6b4c318dce5f9f179f6"> 171</a></span>&#160; detail::tquat&lt;T, P&gt; <a class="code" href="a00222.html#ga7e07dad45836ac90c218a73b6310e9dc">toQuat</a>(</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; detail::tmat4x4&lt;T, P&gt; <span class="keyword">const</span> &amp; x){<span class="keywordflow">return</span> <a class="code" href="a00179.html#gafb826745dedb1760100bbd25d0f63fde">quat_cast</a>(x);}</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::tquat&lt;T, P&gt; <a class="code" href="a00222.html#gad8c24ad4e57f555ebb2c00a1fb11230b">shortMix</a>(</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; detail::tquat&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; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; y,</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; T <span class="keyword">const</span> &amp; a);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; detail::tquat&lt;T, P&gt; <a class="code" href="a00222.html#ga7c7a6ebde274fa1de72cb65cb8f2bed2">fastMix</a>(</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; x,</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; y,</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; T <span class="keyword">const</span> &amp; a);</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; detail::tquat&lt;T, P&gt; <a class="code" href="a00222.html#gaac3f65ac2ca7ac7b22bf18d9f6fd4e6e">rotation</a>(</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; detail::tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; orig, </div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; detail::tvec3&lt;T, P&gt; <span class="keyword">const</span> &amp; dest);</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, precision P&gt;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; T <a class="code" href="a00213.html#ga1d8568485d8bbe6593dbbc2221659dfe">length2</a>(detail::tquat&lt;T, P&gt; <span class="keyword">const</span> &amp; q);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;}<span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;<span class="preprocessor">#include &quot;quaternion.inl&quot;</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="preprocessor">#endif//GLM_GTX_quaternion</span></div>
<div class="ttc" id="a00222_html_ga7e07dad45836ac90c218a73b6310e9dc"><div class="ttname"><a href="a00222.html#ga7e07dad45836ac90c218a73b6310e9dc">glm::toQuat</a></div><div class="ttdeci">detail::tquat&lt; T, P &gt; toQuat(detail::tmat3x3&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a 3 * 3 matrix to a quaternion. </div><div class="ttdef"><b>Definition:</b> <a href="a00099_source.html#l00164">gtx/quaternion.hpp:164</a></div></div>
<div class="ttc" id="a00222_html_gabad3e53891fb524593d321e0a94fe5b9"><div class="ttname"><a href="a00222.html#gabad3e53891fb524593d321e0a94fe5b9">glm::extractRealComponent</a></div><div class="ttdeci">T extractRealComponent(detail::tquat&lt; T, P &gt; const &amp;q)</div><div class="ttdoc">Extract the real component of a quaternion. </div></div>
<div class="ttc" id="a00157_html_ga89b91c2a256cfb62ecbc589d1ee36d3c"><div class="ttname"><a href="a00157.html#ga89b91c2a256cfb62ecbc589d1ee36d3c">glm::cross</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tvec3&lt; T, P &gt; cross(detail::tvec3&lt; T, P &gt; const &amp;x, detail::tvec3&lt; T, P &gt; const &amp;y)</div><div class="ttdoc">Returns the cross product of x and y. </div></div>
<div class="ttc" id="a00179_html_gafb826745dedb1760100bbd25d0f63fde"><div class="ttname"><a href="a00179.html#gafb826745dedb1760100bbd25d0f63fde">glm::quat_cast</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tquat&lt; T, P &gt; quat_cast(detail::tmat3x3&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a 3 * 3 matrix to a quaternion. </div></div>
<div class="ttc" id="a00176_html_ga61e65a3bb227c267d1a15113d1056fb1"><div class="ttname"><a href="a00176.html#ga61e65a3bb227c267d1a15113d1056fb1">glm::rotate</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tmat4x4&lt; T, P &gt; rotate(detail::tmat4x4&lt; T, P &gt; const &amp;m, T const &amp;angle, detail::tvec3&lt; T, P &gt; const &amp;axis)</div><div class="ttdoc">Builds a rotation 4 * 4 matrix created from an axis vector and an angle. </div></div>
<div class="ttc" id="a00222_html_ga9f5ed797b672be7f87648c542ddd71d9"><div class="ttname"><a href="a00222.html#ga9f5ed797b672be7f87648c542ddd71d9">glm::toMat4</a></div><div class="ttdeci">detail::tmat4x4&lt; T, P &gt; toMat4(detail::tquat&lt; T, P &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="a00099_source.html#l00157">gtx/quaternion.hpp:157</a></div></div>
<div class="ttc" id="a00156_html_gae154699ba6bda068d4b87cf9b987381f"><div class="ttname"><a href="a00156.html#gae154699ba6bda068d4b87cf9b987381f">glm::exp</a></div><div class="ttdeci">GLM_FUNC_DECL genType exp(genType const &amp;x)</div><div class="ttdoc">Returns the natural exponentiation of x, i.e., e^x. </div></div>
<div class="ttc" id="a00222_html_ga756698e0119b7b0aa408990c85ffe57a"><div class="ttname"><a href="a00222.html#ga756698e0119b7b0aa408990c85ffe57a">glm::intermediate</a></div><div class="ttdeci">detail::tquat&lt; T, P &gt; intermediate(detail::tquat&lt; T, P &gt; const &amp;prev, detail::tquat&lt; T, P &gt; const &amp;curr, detail::tquat&lt; T, P &gt; const &amp;next)</div><div class="ttdoc">Returns an intermediate control point for squad interpolation. </div></div>
<div class="ttc" id="a00222_html_gad8c24ad4e57f555ebb2c00a1fb11230b"><div class="ttname"><a href="a00222.html#gad8c24ad4e57f555ebb2c00a1fb11230b">glm::shortMix</a></div><div class="ttdeci">detail::tquat&lt; T, P &gt; shortMix(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">Quaternion interpolation using the rotation short path. </div></div>
<div class="ttc" id="a00179_html_gafc4e34c836f7ccb5f3bb2a0373c831e0"><div class="ttname"><a href="a00179.html#gafc4e34c836f7ccb5f3bb2a0373c831e0">glm::mat4_cast</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tmat4x4&lt; T, P &gt; mat4_cast(detail::tquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 4 * 4 matrix. </div></div>
<div class="ttc" id="a00213_html_ga1d8568485d8bbe6593dbbc2221659dfe"><div class="ttname"><a href="a00213.html#ga1d8568485d8bbe6593dbbc2221659dfe">glm::length2</a></div><div class="ttdeci">T length2(T const &amp;x)</div><div class="ttdoc">Returns the squared length of x. </div></div>
<div class="ttc" id="a00222_html_ga28c762d44cbd532b8fa256c12bbc80d2"><div class="ttname"><a href="a00222.html#ga28c762d44cbd532b8fa256c12bbc80d2">glm::toMat3</a></div><div class="ttdeci">detail::tmat3x3&lt; T, P &gt; toMat3(detail::tquat&lt; T, P &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="a00099_source.html#l00150">gtx/quaternion.hpp:150</a></div></div>
<div class="ttc" id="a00222_html_ga520a86d7a47f0c987e7e1c4949558f80"><div class="ttname"><a href="a00222.html#ga520a86d7a47f0c987e7e1c4949558f80">glm::squad</a></div><div class="ttdeci">detail::tquat&lt; T, P &gt; squad(detail::tquat&lt; T, P &gt; const &amp;q1, detail::tquat&lt; T, P &gt; const &amp;q2, detail::tquat&lt; T, P &gt; const &amp;s1, detail::tquat&lt; T, P &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="a00156_html_ga1ce4b2fddd26d0d3a35a8d98f37f3ac0"><div class="ttname"><a href="a00156.html#ga1ce4b2fddd26d0d3a35a8d98f37f3ac0">glm::pow</a></div><div class="ttdeci">GLM_FUNC_DECL genType pow(genType const &amp;base, genType const &amp;exponent)</div><div class="ttdoc">Returns &amp;#39;base&amp;#39; raised to the power &amp;#39;exponent&amp;#39;. </div></div>
<div class="ttc" id="a00179_html_ga65257c3494022ad80a50ce11da95049d"><div class="ttname"><a href="a00179.html#ga65257c3494022ad80a50ce11da95049d">glm::mat3_cast</a></div><div class="ttdeci">GLM_FUNC_DECL detail::tmat3x3&lt; T, P &gt; mat3_cast(detail::tquat&lt; T, P &gt; const &amp;x)</div><div class="ttdoc">Converts a quaternion to a 3 * 3 matrix. </div></div>
<div class="ttc" id="a00222_html_ga7c7a6ebde274fa1de72cb65cb8f2bed2"><div class="ttname"><a href="a00222.html#ga7c7a6ebde274fa1de72cb65cb8f2bed2">glm::fastMix</a></div><div class="ttdeci">detail::tquat&lt; T, P &gt; fastMix(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">Quaternion normalized linear interpolation. </div></div>
<div class="ttc" id="a00222_html_gaac3f65ac2ca7ac7b22bf18d9f6fd4e6e"><div class="ttname"><a href="a00222.html#gaac3f65ac2ca7ac7b22bf18d9f6fd4e6e">glm::rotation</a></div><div class="ttdeci">detail::tquat&lt; T, P &gt; rotation(detail::tvec3&lt; T, P &gt; const &amp;orig, detail::tvec3&lt; T, P &gt; const &amp;dest)</div><div class="ttdoc">Compute the rotation between two vectors. </div></div>
<div class="ttc" id="a00156_html_ga0c8da2d2921da250e8700ac4476916a1"><div class="ttname"><a href="a00156.html#ga0c8da2d2921da250e8700ac4476916a1">glm::log</a></div><div class="ttdeci">GLM_FUNC_DECL genType log(genType const &amp;x)</div><div class="ttdoc">Returns the natural logarithm of x, i.e., returns the value y which satisfies the equation x = e^y...</div></div>
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