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<li class="navelem"><a class="el" href="dir_885cc87fac2d91e269af0a5a959fa5f6.html">E:</a></li><li class="navelem"><a class="el" href="dir_63ed049134a778d525e06b63afc2c979.html">Github</a></li><li class="navelem"><a class="el" href="dir_c98a9ac98258ab9f831b188d66361a70.html">g-truc</a></li><li class="navelem"><a class="el" href="dir_50f12b6ceb23d7f6adfb377a1ae8b006.html">glm</a></li><li class="navelem"><a class="el" href="dir_fca33f1b5115d46f42c670590789c0d2.html">glm</a></li><li class="navelem"><a class="el" href="dir_d9678a6a9012da969e0b059b39347945.html">gtc</a></li> </ul>
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<div class="title">gtc/quaternion.hpp</div> </div>
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<div class="contents">
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<a href="a01588.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="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#pragma once</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// Dependency:</span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include "../gtc/constants.hpp"</span></div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include "../gtc/matrix_transform.hpp"</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include "../ext/vector_relational.hpp"</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "../ext/quaternion_common.hpp"</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include "../ext/quaternion_float.hpp"</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "../ext/quaternion_float_precision.hpp"</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include "../ext/quaternion_double.hpp"</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "../ext/quaternion_double_precision.hpp"</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "../ext/quaternion_relational.hpp"</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "../ext/quaternion_geometric.hpp"</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "../ext/quaternion_trigonometric.hpp"</span></div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "../ext/quaternion_transform.hpp"</span></div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "../detail/type_mat3x3.hpp"</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "../detail/type_mat4x4.hpp"</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "../detail/type_vec3.hpp"</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "../detail/type_vec4.hpp"</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  </div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor"># pragma message("GLM: GLM_GTC_quaternion extension included")</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">namespace </span>glm</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> {</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="a00908.html#gaf4dd967dead22dd932fc7460ceecb03f"> 50</a></span>  GLM_FUNC_DECL vec<3, T, Q> <a class="code" href="a00908.html#gaf4dd967dead22dd932fc7460ceecb03f">eulerAngles</a>(qua<T, Q> <span class="keyword">const</span>& x);</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="a00908.html#ga0cc5ad970d0b00829b139fe0fe5a1e13"> 58</a></span>  GLM_FUNC_DECL T <a class="code" href="a00908.html#ga0cc5ad970d0b00829b139fe0fe5a1e13">roll</a>(qua<T, Q> <span class="keyword">const</span>& x);</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="a00908.html#ga7603e81477b46ddb448896909bc04928"> 66</a></span>  GLM_FUNC_DECL T <a class="code" href="a00908.html#ga7603e81477b46ddb448896909bc04928">pitch</a>(qua<T, Q> <span class="keyword">const</span>& x);</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="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="a00908.html#ga8da38cdfdc452dafa660c2f46506bad5"> 74</a></span>  GLM_FUNC_DECL T <a class="code" href="a00908.html#ga8da38cdfdc452dafa660c2f46506bad5">yaw</a>(qua<T, Q> <span class="keyword">const</span>& x);</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  </div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="a00908.html#ga333ab70047fbe4132406100c292dbc89"> 82</a></span>  GLM_FUNC_DECL mat<3, 3, T, Q> <a class="code" href="a00908.html#ga333ab70047fbe4132406100c292dbc89">mat3_cast</a>(qua<T, Q> <span class="keyword">const</span>& x);</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="a00908.html#ga1113212d9bdefc2e31ad40e5bbb506f3"> 90</a></span>  GLM_FUNC_DECL mat<4, 4, T, Q> <a class="code" href="a00908.html#ga1113212d9bdefc2e31ad40e5bbb506f3">mat4_cast</a>(qua<T, Q> <span class="keyword">const</span>& x);</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="l00097"></a><span class="lineno"> 97</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="a00908.html#ga1108a4ab88ca87bac321454eea7702f8"> 98</a></span>  GLM_FUNC_DECL qua<T, Q> <a class="code" href="a00908.html#ga4524810f07f72e8c7bdc7764fa11cb58">quat_cast</a>(mat<3, 3, T, Q> <span class="keyword">const</span>& x);</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  </div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="a00908.html#ga4524810f07f72e8c7bdc7764fa11cb58"> 106</a></span>  GLM_FUNC_DECL qua<T, Q> <a class="code" href="a00908.html#ga4524810f07f72e8c7bdc7764fa11cb58">quat_cast</a>(mat<4, 4, T, Q> <span class="keyword">const</span>& x);</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  </div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="a00908.html#gae0ed978b5c2588d53b220e9ceebaca0b"> 115</a></span>  GLM_FUNC_DECL GLM_CONSTEXPR vec<4, bool, Q> <a class="code" href="a00908.html#gae0ed978b5c2588d53b220e9ceebaca0b">lessThan</a>(qua<T, Q> <span class="keyword">const</span>& x, qua<T, Q> <span class="keyword">const</span>& y);</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="l00123"></a><span class="lineno"> 123</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="a00908.html#ga3ee1ffe56e5428f659c51a5bfd67ab33"> 124</a></span>  GLM_FUNC_DECL GLM_CONSTEXPR vec<4, bool, Q> <a class="code" href="a00908.html#ga3ee1ffe56e5428f659c51a5bfd67ab33">lessThanEqual</a>(qua<T, Q> <span class="keyword">const</span>& x, qua<T, Q> <span class="keyword">const</span>& y);</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</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, qualifier Q></div>
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<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="a00908.html#gab52513c338f90e9ba249faabdc115b67"> 133</a></span>  GLM_FUNC_DECL GLM_CONSTEXPR vec<4, bool, Q> <a class="code" href="a00908.html#gab52513c338f90e9ba249faabdc115b67">greaterThan</a>(qua<T, Q> <span class="keyword">const</span>& x, qua<T, Q> <span class="keyword">const</span>& y);</div>
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||
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="a00908.html#gaa71814c544f0ed99ba6d141b17e026ae"> 142</a></span>  GLM_FUNC_DECL GLM_CONSTEXPR vec<4, bool, Q> <a class="code" href="a00908.html#gaa71814c544f0ed99ba6d141b17e026ae">greaterThanEqual</a>(qua<T, Q> <span class="keyword">const</span>& x, qua<T, Q> <span class="keyword">const</span>& y);</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  </div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00149"></a><span class="lineno"><a class="line" href="a00908.html#gabe7fc5ec5feb41ab234d5d2b6254697f"> 149</a></span>  GLM_FUNC_DECL qua<T, Q> <a class="code" href="a00908.html#gabe7fc5ec5feb41ab234d5d2b6254697f">quatLookAt</a>(</div>
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||
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  vec<3, T, Q> <span class="keyword">const</span>& direction,</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  vec<3, T, Q> <span class="keyword">const</span>& up);</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  </div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="a00908.html#gaf6529ac8c04a57fcc35865b5c9437cc8"> 158</a></span>  GLM_FUNC_DECL qua<T, Q> <a class="code" href="a00908.html#gaf6529ac8c04a57fcc35865b5c9437cc8">quatLookAtRH</a>(</div>
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||
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  vec<3, T, Q> <span class="keyword">const</span>& direction,</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  vec<3, T, Q> <span class="keyword">const</span>& up);</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  </div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keyword">template</span><<span class="keyword">typename</span> T, qualifier Q></div>
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<div class="line"><a name="l00167"></a><span class="lineno"><a class="line" href="a00908.html#ga2da350c73411be3bb19441b226b81a74"> 167</a></span>  GLM_FUNC_DECL qua<T, Q> <a class="code" href="a00908.html#ga2da350c73411be3bb19441b226b81a74">quatLookAtLH</a>(</div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  vec<3, T, Q> <span class="keyword">const</span>& direction,</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  vec<3, T, Q> <span class="keyword">const</span>& up);</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> } <span class="comment">//namespace glm</span></div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="preprocessor">#include "quaternion.inl"</span></div>
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<div class="ttc" id="aa00908_html_ga0cc5ad970d0b00829b139fe0fe5a1e13"><div class="ttname"><a href="a00908.html#ga0cc5ad970d0b00829b139fe0fe5a1e13">glm::roll</a></div><div class="ttdeci">GLM_FUNC_DECL T roll(qua< T, Q > const &x)</div><div class="ttdoc">Returns roll value of euler angles expressed in radians.</div></div>
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<div class="ttc" id="aa00908_html_ga2da350c73411be3bb19441b226b81a74"><div class="ttname"><a href="a00908.html#ga2da350c73411be3bb19441b226b81a74">glm::quatLookAtLH</a></div><div class="ttdeci">GLM_FUNC_DECL qua< T, Q > quatLookAtLH(vec< 3, T, Q > const &direction, vec< 3, T, Q > const &up)</div><div class="ttdoc">Build a left-handed look at quaternion.</div></div>
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<div class="ttc" id="aa00908_html_ga3ee1ffe56e5428f659c51a5bfd67ab33"><div class="ttname"><a href="a00908.html#ga3ee1ffe56e5428f659c51a5bfd67ab33">glm::lessThanEqual</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR vec< 4, bool, Q > lessThanEqual(qua< T, Q > const &x, qua< T, Q > const &y)</div><div class="ttdoc">Returns the component-wise comparison of result x <= y.</div></div>
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<div class="ttc" id="aa00908_html_ga333ab70047fbe4132406100c292dbc89"><div class="ttname"><a href="a00908.html#ga333ab70047fbe4132406100c292dbc89">glm::mat3_cast</a></div><div class="ttdeci">GLM_FUNC_DECL mat< 3, 3, T, Q > mat3_cast(qua< T, Q > const &x)</div><div class="ttdoc">Converts a quaternion to a 3 * 3 matrix.</div></div>
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<div class="ttc" id="aa00908_html_ga8da38cdfdc452dafa660c2f46506bad5"><div class="ttname"><a href="a00908.html#ga8da38cdfdc452dafa660c2f46506bad5">glm::yaw</a></div><div class="ttdeci">GLM_FUNC_DECL T yaw(qua< T, Q > const &x)</div><div class="ttdoc">Returns yaw value of euler angles expressed in radians.</div></div>
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<div class="ttc" id="aa00908_html_gab52513c338f90e9ba249faabdc115b67"><div class="ttname"><a href="a00908.html#gab52513c338f90e9ba249faabdc115b67">glm::greaterThan</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR vec< 4, bool, Q > greaterThan(qua< T, Q > const &x, qua< T, Q > const &y)</div><div class="ttdoc">Returns the component-wise comparison of result x > y.</div></div>
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<div class="ttc" id="aa00908_html_gaf4dd967dead22dd932fc7460ceecb03f"><div class="ttname"><a href="a00908.html#gaf4dd967dead22dd932fc7460ceecb03f">glm::eulerAngles</a></div><div class="ttdeci">GLM_FUNC_DECL vec< 3, T, Q > eulerAngles(qua< T, Q > const &x)</div><div class="ttdoc">Returns euler angles, pitch as x, yaw as y, roll as z.</div></div>
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<div class="ttc" id="aa00908_html_gae0ed978b5c2588d53b220e9ceebaca0b"><div class="ttname"><a href="a00908.html#gae0ed978b5c2588d53b220e9ceebaca0b">glm::lessThan</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR vec< 4, bool, Q > lessThan(qua< T, Q > const &x, qua< T, Q > const &y)</div><div class="ttdoc">Returns the component-wise comparison result of x < y.</div></div>
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<div class="ttc" id="aa00908_html_ga7603e81477b46ddb448896909bc04928"><div class="ttname"><a href="a00908.html#ga7603e81477b46ddb448896909bc04928">glm::pitch</a></div><div class="ttdeci">GLM_FUNC_DECL T pitch(qua< T, Q > const &x)</div><div class="ttdoc">Returns pitch value of euler angles expressed in radians.</div></div>
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<div class="ttc" id="aa00908_html_ga1113212d9bdefc2e31ad40e5bbb506f3"><div class="ttname"><a href="a00908.html#ga1113212d9bdefc2e31ad40e5bbb506f3">glm::mat4_cast</a></div><div class="ttdeci">GLM_FUNC_DECL mat< 4, 4, T, Q > mat4_cast(qua< T, Q > const &x)</div><div class="ttdoc">Converts a quaternion to a 4 * 4 matrix.</div></div>
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<div class="ttc" id="aa00908_html_gabe7fc5ec5feb41ab234d5d2b6254697f"><div class="ttname"><a href="a00908.html#gabe7fc5ec5feb41ab234d5d2b6254697f">glm::quatLookAt</a></div><div class="ttdeci">GLM_FUNC_DECL qua< T, Q > quatLookAt(vec< 3, T, Q > const &direction, vec< 3, T, Q > const &up)</div><div class="ttdoc">Build a look at quaternion based on the default handedness.</div></div>
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<div class="ttc" id="aa00908_html_ga4524810f07f72e8c7bdc7764fa11cb58"><div class="ttname"><a href="a00908.html#ga4524810f07f72e8c7bdc7764fa11cb58">glm::quat_cast</a></div><div class="ttdeci">GLM_FUNC_DECL qua< T, Q > quat_cast(mat< 4, 4, T, Q > const &x)</div><div class="ttdoc">Converts a pure rotation 4 * 4 matrix to a quaternion.</div></div>
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<div class="ttc" id="aa00908_html_gaa71814c544f0ed99ba6d141b17e026ae"><div class="ttname"><a href="a00908.html#gaa71814c544f0ed99ba6d141b17e026ae">glm::greaterThanEqual</a></div><div class="ttdeci">GLM_FUNC_DECL GLM_CONSTEXPR vec< 4, bool, Q > greaterThanEqual(qua< T, Q > const &x, qua< T, Q > const &y)</div><div class="ttdoc">Returns the component-wise comparison of result x >= y.</div></div>
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<div class="ttc" id="aa00908_html_gaf6529ac8c04a57fcc35865b5c9437cc8"><div class="ttname"><a href="a00908.html#gaf6529ac8c04a57fcc35865b5c9437cc8">glm::quatLookAtRH</a></div><div class="ttdeci">GLM_FUNC_DECL qua< T, Q > quatLookAtRH(vec< 3, T, Q > const &direction, vec< 3, T, Q > const &up)</div><div class="ttdoc">Build a right-handed look at quaternion.</div></div>
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