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  86. <div class="title">euler_angles.hpp</div> </div>
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  88. <div class="contents">
  89. <a href="a00025.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>
  90. <div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="preprocessor">#pragma once</span></div>
  91. <div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;</div>
  92. <div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment">// Dependency:</span></div>
  93. <div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="preprocessor">#include &quot;../glm.hpp&quot;</span></div>
  94. <div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;</div>
  95. <div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#if GLM_MESSAGES == GLM_ENABLE &amp;&amp; !defined(GLM_EXT_INCLUDED)</span></div>
  96. <div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor"># ifndef GLM_ENABLE_EXPERIMENTAL</span></div>
  97. <div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor"># pragma message(&quot;GLM: GLM_GTX_euler_angles 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>
  98. <div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor"># else</span></div>
  99. <div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor"># pragma message(&quot;GLM: GLM_GTX_euler_angles extension included&quot;)</span></div>
  100. <div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor"># endif</span></div>
  101. <div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#endif</span></div>
  102. <div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;</div>
  103. <div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="keyword">namespace </span><a class="code" href="a00236.html">glm</a></div>
  104. <div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;{</div>
  105. <div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;</div>
  106. <div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  107. <div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#gafba6282e4ed3ff8b5c75331abfba3489">eulerAngleX</a>(</div>
  108. <div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; T <span class="keyword">const</span>&amp; angleX);</div>
  109. <div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;</div>
  110. <div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  111. <div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#gab84bf4746805fd69b8ecbb230e3974c5">eulerAngleY</a>(</div>
  112. <div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; T <span class="keyword">const</span>&amp; angleY);</div>
  113. <div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;</div>
  114. <div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  115. <div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga5b3935248bb6c3ec6b0d9297d406e251">eulerAngleZ</a>(</div>
  116. <div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; T <span class="keyword">const</span>&amp; angleZ);</div>
  117. <div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;</div>
  118. <div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  119. <div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga994b8186b3b80d91cf90bc403164692f">derivedEulerAngleX</a>(</div>
  120. <div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; T <span class="keyword">const</span> &amp; angleX, T <span class="keyword">const</span> &amp; angularVelocityX);</div>
  121. <div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;</div>
  122. <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&gt;</div>
  123. <div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga0a4c56ecce7abcb69508ebe6313e9d10">derivedEulerAngleY</a>(</div>
  124. <div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; T <span class="keyword">const</span> &amp; angleY, T <span class="keyword">const</span> &amp; angularVelocityY);</div>
  125. <div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;</div>
  126. <div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  127. <div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#gae8b397348201c42667be983ba3f344df">derivedEulerAngleZ</a>(</div>
  128. <div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; T <span class="keyword">const</span> &amp; angleZ, T <span class="keyword">const</span> &amp; angularVelocityZ);</div>
  129. <div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div>
  130. <div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  131. <div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga64036577ee17a2d24be0dbc05881d4e2">eulerAngleXY</a>(</div>
  132. <div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; T <span class="keyword">const</span>&amp; angleX,</div>
  133. <div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; T <span class="keyword">const</span>&amp; angleY);</div>
  134. <div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;</div>
  135. <div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  136. <div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga4f57e6dd25c3cffbbd4daa6ef3f4486d">eulerAngleYX</a>(</div>
  137. <div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; T <span class="keyword">const</span>&amp; angleY,</div>
  138. <div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; T <span class="keyword">const</span>&amp; angleX);</div>
  139. <div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;</div>
  140. <div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  141. <div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#gaa39bd323c65c2fc0a1508be33a237ce9">eulerAngleXZ</a>(</div>
  142. <div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; T <span class="keyword">const</span>&amp; angleX,</div>
  143. <div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; T <span class="keyword">const</span>&amp; angleZ);</div>
  144. <div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;</div>
  145. <div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  146. <div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga483903115cd4059228961046a28d69b5">eulerAngleZX</a>(</div>
  147. <div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; T <span class="keyword">const</span>&amp; <a class="code" href="a00257.html#ga8aa248b31d5ade470c87304df5eb7bd8">angle</a>,</div>
  148. <div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; T <span class="keyword">const</span>&amp; angleX);</div>
  149. <div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;</div>
  150. <div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  151. <div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga220379e10ac8cca55e275f0c9018fed9">eulerAngleYZ</a>(</div>
  152. <div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; T <span class="keyword">const</span>&amp; angleY,</div>
  153. <div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; T <span class="keyword">const</span>&amp; angleZ);</div>
  154. <div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;</div>
  155. <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&gt;</div>
  156. <div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga400b2bd5984999efab663f3a68e1d020">eulerAngleZY</a>(</div>
  157. <div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; T <span class="keyword">const</span>&amp; angleZ,</div>
  158. <div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; T <span class="keyword">const</span>&amp; angleY);</div>
  159. <div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;</div>
  160. <div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  161. <div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga1975e0f0e9bed7f716dc9946da2ab645">eulerAngleXYZ</a>(</div>
  162. <div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; T <span class="keyword">const</span>&amp; t1,</div>
  163. <div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; T <span class="keyword">const</span>&amp; t2,</div>
  164. <div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; T <span class="keyword">const</span>&amp; t3);</div>
  165. <div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;</div>
  166. <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&gt;</div>
  167. <div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#gab8ba99a9814f6d9edf417b6c6d5b0c10">eulerAngleYXZ</a>(</div>
  168. <div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; T <span class="keyword">const</span>&amp; <a class="code" href="a00299.html#ga8da38cdfdc452dafa660c2f46506bad5">yaw</a>,</div>
  169. <div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; T <span class="keyword">const</span>&amp; <a class="code" href="a00299.html#ga7603e81477b46ddb448896909bc04928">pitch</a>,</div>
  170. <div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; T <span class="keyword">const</span>&amp; <a class="code" href="a00299.html#ga0cc5ad970d0b00829b139fe0fe5a1e13">roll</a>);</div>
  171. <div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;</div>
  172. <div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  173. <div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga60171c79a17aec85d7891ae1d1533ec9">eulerAngleXZX</a>(</div>
  174. <div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  175. <div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  176. <div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  177. <div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;</div>
  178. <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&gt;</div>
  179. <div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga29bd0787a28a6648159c0d6e69706066">eulerAngleXYX</a>(</div>
  180. <div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  181. <div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  182. <div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  183. <div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;</div>
  184. <div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  185. <div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga750fba9894117f87bcc529d7349d11de">eulerAngleYXY</a>(</div>
  186. <div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  187. <div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  188. <div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  189. <div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;</div>
  190. <div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  191. <div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga5e5e40abc27630749b42b3327c76d6e4">eulerAngleYZY</a>(</div>
  192. <div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  193. <div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  194. <div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  195. <div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;</div>
  196. <div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  197. <div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#gacd795f1dbecaf74974f9c76bbcca6830">eulerAngleZYZ</a>(</div>
  198. <div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  199. <div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  200. <div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  201. <div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;</div>
  202. <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&gt;</div>
  203. <div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga178f966c52b01e4d65e31ebd007e3247">eulerAngleZXZ</a>(</div>
  204. <div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  205. <div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  206. <div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  207. <div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;</div>
  208. <div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  209. <div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga996dce12a60d8a674ba6737a535fa910">eulerAngleXZY</a>(</div>
  210. <div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  211. <div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  212. <div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  213. <div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;</div>
  214. <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&gt;</div>
  215. <div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga08bef16357b8f9b3051b3dcaec4b7848">eulerAngleYZX</a>(</div>
  216. <div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  217. <div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  218. <div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  219. <div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;</div>
  220. <div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  221. <div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#ga2e61f1e39069c47530acab9167852dd6">eulerAngleZYX</a>(</div>
  222. <div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  223. <div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  224. <div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  225. <div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;</div>
  226. <div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  227. <div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#gab4505c54d2dd654df4569fd1f04c43aa">eulerAngleZXY</a>(</div>
  228. <div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; T <span class="keyword">const</span> &amp; t1,</div>
  229. <div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; T <span class="keyword">const</span> &amp; t2,</div>
  230. <div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; T <span class="keyword">const</span> &amp; t3);</div>
  231. <div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;</div>
  232. <div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  233. <div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, defaultp&gt; <a class="code" href="a00319.html#gae6aa26ccb020d281b449619e419a609e">yawPitchRoll</a>(</div>
  234. <div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; T <span class="keyword">const</span>&amp; <a class="code" href="a00299.html#ga8da38cdfdc452dafa660c2f46506bad5">yaw</a>,</div>
  235. <div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; T <span class="keyword">const</span>&amp; <a class="code" href="a00299.html#ga7603e81477b46ddb448896909bc04928">pitch</a>,</div>
  236. <div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; T <span class="keyword">const</span>&amp; <a class="code" href="a00299.html#ga0cc5ad970d0b00829b139fe0fe5a1e13">roll</a>);</div>
  237. <div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;</div>
  238. <div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  239. <div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; GLM_FUNC_DECL mat&lt;2, 2, T, defaultp&gt; <a class="code" href="a00319.html#gae16738a9f1887cf4e4db6a124637608d">orientate2</a>(T <span class="keyword">const</span>&amp; <a class="code" href="a00257.html#ga8aa248b31d5ade470c87304df5eb7bd8">angle</a>);</div>
  240. <div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;</div>
  241. <div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  242. <div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; GLM_FUNC_DECL mat&lt;3, 3, T, defaultp&gt; <a class="code" href="a00319.html#ga7238c8e15c7720e3ca6a45ab151eeabb">orientate3</a>(T <span class="keyword">const</span>&amp; <a class="code" href="a00257.html#ga8aa248b31d5ade470c87304df5eb7bd8">angle</a>);</div>
  243. <div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;</div>
  244. <div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  245. <div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; GLM_FUNC_DECL mat&lt;3, 3, T, Q&gt; <a class="code" href="a00319.html#ga7238c8e15c7720e3ca6a45ab151eeabb">orientate3</a>(vec&lt;3, T, Q&gt; <span class="keyword">const</span>&amp; angles);</div>
  246. <div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;</div>
  247. <div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
  248. <div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; GLM_FUNC_DECL mat&lt;4, 4, T, Q&gt; <a class="code" href="a00319.html#ga4a044653f71a4ecec68e0b623382b48a">orientate4</a>(vec&lt;3, T, Q&gt; <span class="keyword">const</span>&amp; angles);</div>
  249. <div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;</div>
  250. <div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
  251. <div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#gacea701562f778c1da4d3a0a1cf091000">extractEulerAngleXYZ</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span>&amp; M,</div>
  252. <div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; T &amp; t1,</div>
  253. <div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; T &amp; t2,</div>
  254. <div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; T &amp; t3);</div>
  255. <div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;</div>
  256. <div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  257. <div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#gaf0937518e63037335a0e8358b6f053c5">extractEulerAngleYXZ</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  258. <div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; T &amp; t1,</div>
  259. <div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; T &amp; t2,</div>
  260. <div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; T &amp; t3);</div>
  261. <div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;</div>
  262. <div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  263. <div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#gacf0bc6c031f25fa3ee0055b62c8260d0">extractEulerAngleXZX</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  264. <div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; T &amp; t1,</div>
  265. <div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; T &amp; t2,</div>
  266. <div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; T &amp; t3);</div>
  267. <div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160;</div>
  268. <div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  269. <div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#gaf1077a72171d0f3b08f022ab5ff88af7">extractEulerAngleXYX</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  270. <div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; T &amp; t1,</div>
  271. <div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; T &amp; t2,</div>
  272. <div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; T &amp; t3);</div>
  273. <div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;</div>
  274. <div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  275. <div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#gaab8868556361a190db94374e9983ed39">extractEulerAngleYXY</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  276. <div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; T &amp; t1,</div>
  277. <div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; T &amp; t2,</div>
  278. <div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; T &amp; t3);</div>
  279. <div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;</div>
  280. <div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  281. <div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#ga11dad972c109e4bf8694c915017c44a6">extractEulerAngleYZY</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  282. <div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; T &amp; t1,</div>
  283. <div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; T &amp; t2,</div>
  284. <div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; T &amp; t3);</div>
  285. <div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160;</div>
  286. <div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  287. <div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#gafdfa880a64b565223550c2d3938b1aeb">extractEulerAngleZYZ</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  288. <div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; T &amp; t1,</div>
  289. <div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; T &amp; t2,</div>
  290. <div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; T &amp; t3);</div>
  291. <div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160;</div>
  292. <div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  293. <div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#ga59359fef9bad92afaca55e193f91e702">extractEulerAngleZXZ</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  294. <div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; T &amp; t1,</div>
  295. <div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; T &amp; t2,</div>
  296. <div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; T &amp; t3);</div>
  297. <div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;</div>
  298. <div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  299. <div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#gabe5a65d8eb1cd873c8de121cce1a15ed">extractEulerAngleXZY</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  300. <div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; T &amp; t1,</div>
  301. <div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; T &amp; t2,</div>
  302. <div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; T &amp; t3);</div>
  303. <div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160;</div>
  304. <div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  305. <div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#ga9049b78466796c0de2971756e25b93d3">extractEulerAngleYZX</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  306. <div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; T &amp; t1,</div>
  307. <div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; T &amp; t2,</div>
  308. <div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; T &amp; t3);</div>
  309. <div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160;</div>
  310. <div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  311. <div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#ga2d6c11a4abfa60c565483cee2d3f7665">extractEulerAngleZYX</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  312. <div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; T &amp; t1,</div>
  313. <div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; T &amp; t2,</div>
  314. <div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; T &amp; t3);</div>
  315. <div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;</div>
  316. <div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
  317. <div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; GLM_FUNC_DECL <span class="keywordtype">void</span> <a class="code" href="a00319.html#ga81fbbca2ba0c778b9662d5355b4e2363">extractEulerAngleZXY</a>(mat&lt;4, 4, T, defaultp&gt; <span class="keyword">const</span> &amp; M,</div>
  318. <div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; T &amp; t1,</div>
  319. <div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; T &amp; t2,</div>
  320. <div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; T &amp; t3);</div>
  321. <div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160;</div>
  322. <div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160;}<span class="comment">//namespace glm</span></div>
  323. <div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160;</div>
  324. <div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160;<span class="preprocessor">#include &quot;euler_angles.inl&quot;</span></div>
  325. <div class="ttc" id="a00319_html_ga64036577ee17a2d24be0dbc05881d4e2"><div class="ttname"><a href="a00319.html#ga64036577ee17a2d24be0dbc05881d4e2">glm::eulerAngleXY</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleXY(T const &amp;angleX, T const &amp;angleY)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y). </div></div>
  326. <div class="ttc" id="a00319_html_ga5e5e40abc27630749b42b3327c76d6e4"><div class="ttname"><a href="a00319.html#ga5e5e40abc27630749b42b3327c76d6e4">glm::eulerAngleYZY</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleYZY(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * Z * Y). </div></div>
  327. <div class="ttc" id="a00319_html_gaf0937518e63037335a0e8358b6f053c5"><div class="ttname"><a href="a00319.html#gaf0937518e63037335a0e8358b6f053c5">glm::extractEulerAngleYXZ</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleYXZ(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (Y * X * Z) Euler angles from the rotation matrix M. </div></div>
  328. <div class="ttc" id="a00319_html_ga1975e0f0e9bed7f716dc9946da2ab645"><div class="ttname"><a href="a00319.html#ga1975e0f0e9bed7f716dc9946da2ab645">glm::eulerAngleXYZ</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleXYZ(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y * Z). </div></div>
  329. <div class="ttc" id="a00319_html_ga996dce12a60d8a674ba6737a535fa910"><div class="ttname"><a href="a00319.html#ga996dce12a60d8a674ba6737a535fa910">glm::eulerAngleXZY</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleXZY(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Z * Y). </div></div>
  330. <div class="ttc" id="a00319_html_gae8b397348201c42667be983ba3f344df"><div class="ttname"><a href="a00319.html#gae8b397348201c42667be983ba3f344df">glm::derivedEulerAngleZ</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; derivedEulerAngleZ(T const &amp;angleZ, T const &amp;angularVelocityZ)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous derived matrix from the rotation matrix about Z-axis. </div></div>
  331. <div class="ttc" id="a00319_html_ga4f57e6dd25c3cffbbd4daa6ef3f4486d"><div class="ttname"><a href="a00319.html#ga4f57e6dd25c3cffbbd4daa6ef3f4486d">glm::eulerAngleYX</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleYX(T const &amp;angleY, T const &amp;angleX)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X). </div></div>
  332. <div class="ttc" id="a00319_html_gab84bf4746805fd69b8ecbb230e3974c5"><div class="ttname"><a href="a00319.html#gab84bf4746805fd69b8ecbb230e3974c5">glm::eulerAngleY</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleY(T const &amp;angleY)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle Y. </div></div>
  333. <div class="ttc" id="a00257_html_ga8aa248b31d5ade470c87304df5eb7bd8"><div class="ttname"><a href="a00257.html#ga8aa248b31d5ade470c87304df5eb7bd8">glm::angle</a></div><div class="ttdeci">GLM_FUNC_DECL T angle(qua&lt; T, Q &gt; const &amp;x)</div><div class="ttdoc">Returns the quaternion rotation angle. </div></div>
  334. <div class="ttc" id="a00319_html_gafdfa880a64b565223550c2d3938b1aeb"><div class="ttname"><a href="a00319.html#gafdfa880a64b565223550c2d3938b1aeb">glm::extractEulerAngleZYZ</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleZYZ(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (Z * Y * Z) Euler angles from the rotation matrix M. </div></div>
  335. <div class="ttc" id="a00319_html_ga994b8186b3b80d91cf90bc403164692f"><div class="ttname"><a href="a00319.html#ga994b8186b3b80d91cf90bc403164692f">glm::derivedEulerAngleX</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; derivedEulerAngleX(T const &amp;angleX, T const &amp;angularVelocityX)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous derived matrix from the rotation matrix about X-axis. </div></div>
  336. <div class="ttc" id="a00319_html_gaf1077a72171d0f3b08f022ab5ff88af7"><div class="ttname"><a href="a00319.html#gaf1077a72171d0f3b08f022ab5ff88af7">glm::extractEulerAngleXYX</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleXYX(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (X * Y * X) Euler angles from the rotation matrix M. </div></div>
  337. <div class="ttc" id="a00319_html_gab4505c54d2dd654df4569fd1f04c43aa"><div class="ttname"><a href="a00319.html#gab4505c54d2dd654df4569fd1f04c43aa">glm::eulerAngleZXY</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleZXY(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * X * Y). </div></div>
  338. <div class="ttc" id="a00299_html_ga0cc5ad970d0b00829b139fe0fe5a1e13"><div class="ttname"><a href="a00299.html#ga0cc5ad970d0b00829b139fe0fe5a1e13">glm::roll</a></div><div class="ttdeci">GLM_FUNC_DECL T roll(qua&lt; T, Q &gt; const &amp;x)</div><div class="ttdoc">Returns roll value of euler angles expressed in radians. </div></div>
  339. <div class="ttc" id="a00319_html_gafba6282e4ed3ff8b5c75331abfba3489"><div class="ttname"><a href="a00319.html#gafba6282e4ed3ff8b5c75331abfba3489">glm::eulerAngleX</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleX(T const &amp;angleX)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle X. </div></div>
  340. <div class="ttc" id="a00319_html_gae16738a9f1887cf4e4db6a124637608d"><div class="ttname"><a href="a00319.html#gae16738a9f1887cf4e4db6a124637608d">glm::orientate2</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 2, 2, T, defaultp &gt; orientate2(T const &amp;angle)</div><div class="ttdoc">Creates a 2D 2 * 2 rotation matrix from an euler angle. </div></div>
  341. <div class="ttc" id="a00319_html_ga29bd0787a28a6648159c0d6e69706066"><div class="ttname"><a href="a00319.html#ga29bd0787a28a6648159c0d6e69706066">glm::eulerAngleXYX</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleXYX(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y * X). </div></div>
  342. <div class="ttc" id="a00319_html_gab8ba99a9814f6d9edf417b6c6d5b0c10"><div class="ttname"><a href="a00319.html#gab8ba99a9814f6d9edf417b6c6d5b0c10">glm::eulerAngleYXZ</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleYXZ(T const &amp;yaw, T const &amp;pitch, T const &amp;roll)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z). </div></div>
  343. <div class="ttc" id="a00319_html_gacf0bc6c031f25fa3ee0055b62c8260d0"><div class="ttname"><a href="a00319.html#gacf0bc6c031f25fa3ee0055b62c8260d0">glm::extractEulerAngleXZX</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleXZX(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (X * Z * X) Euler angles from the rotation matrix M. </div></div>
  344. <div class="ttc" id="a00299_html_ga8da38cdfdc452dafa660c2f46506bad5"><div class="ttname"><a href="a00299.html#ga8da38cdfdc452dafa660c2f46506bad5">glm::yaw</a></div><div class="ttdeci">GLM_FUNC_DECL T yaw(qua&lt; T, Q &gt; const &amp;x)</div><div class="ttdoc">Returns yaw value of euler angles expressed in radians. </div></div>
  345. <div class="ttc" id="a00319_html_gaab8868556361a190db94374e9983ed39"><div class="ttname"><a href="a00319.html#gaab8868556361a190db94374e9983ed39">glm::extractEulerAngleYXY</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleYXY(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (Y * X * Y) Euler angles from the rotation matrix M. </div></div>
  346. <div class="ttc" id="a00319_html_ga81fbbca2ba0c778b9662d5355b4e2363"><div class="ttname"><a href="a00319.html#ga81fbbca2ba0c778b9662d5355b4e2363">glm::extractEulerAngleZXY</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleZXY(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (Z * X * Y) Euler angles from the rotation matrix M. </div></div>
  347. <div class="ttc" id="a00319_html_gabe5a65d8eb1cd873c8de121cce1a15ed"><div class="ttname"><a href="a00319.html#gabe5a65d8eb1cd873c8de121cce1a15ed">glm::extractEulerAngleXZY</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleXZY(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (X * Z * Y) Euler angles from the rotation matrix M. </div></div>
  348. <div class="ttc" id="a00319_html_ga9049b78466796c0de2971756e25b93d3"><div class="ttname"><a href="a00319.html#ga9049b78466796c0de2971756e25b93d3">glm::extractEulerAngleYZX</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleYZX(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (Y * Z * X) Euler angles from the rotation matrix M. </div></div>
  349. <div class="ttc" id="a00319_html_ga60171c79a17aec85d7891ae1d1533ec9"><div class="ttname"><a href="a00319.html#ga60171c79a17aec85d7891ae1d1533ec9">glm::eulerAngleXZX</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleXZX(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Z * X). </div></div>
  350. <div class="ttc" id="a00319_html_ga2e61f1e39069c47530acab9167852dd6"><div class="ttname"><a href="a00319.html#ga2e61f1e39069c47530acab9167852dd6">glm::eulerAngleZYX</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleZYX(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * Y * X). </div></div>
  351. <div class="ttc" id="a00319_html_ga4a044653f71a4ecec68e0b623382b48a"><div class="ttname"><a href="a00319.html#ga4a044653f71a4ecec68e0b623382b48a">glm::orientate4</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, Q &gt; orientate4(vec&lt; 3, T, Q &gt; const &amp;angles)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z). </div></div>
  352. <div class="ttc" id="a00319_html_ga2d6c11a4abfa60c565483cee2d3f7665"><div class="ttname"><a href="a00319.html#ga2d6c11a4abfa60c565483cee2d3f7665">glm::extractEulerAngleZYX</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleZYX(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (Z * Y * X) Euler angles from the rotation matrix M. </div></div>
  353. <div class="ttc" id="a00319_html_ga5b3935248bb6c3ec6b0d9297d406e251"><div class="ttname"><a href="a00319.html#ga5b3935248bb6c3ec6b0d9297d406e251">glm::eulerAngleZ</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleZ(T const &amp;angleZ)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle Z. </div></div>
  354. <div class="ttc" id="a00319_html_ga750fba9894117f87bcc529d7349d11de"><div class="ttname"><a href="a00319.html#ga750fba9894117f87bcc529d7349d11de">glm::eulerAngleYXY</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleYXY(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Y). </div></div>
  355. <div class="ttc" id="a00319_html_ga11dad972c109e4bf8694c915017c44a6"><div class="ttname"><a href="a00319.html#ga11dad972c109e4bf8694c915017c44a6">glm::extractEulerAngleYZY</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleYZY(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (Y * Z * Y) Euler angles from the rotation matrix M. </div></div>
  356. <div class="ttc" id="a00319_html_gae6aa26ccb020d281b449619e419a609e"><div class="ttname"><a href="a00319.html#gae6aa26ccb020d281b449619e419a609e">glm::yawPitchRoll</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; yawPitchRoll(T const &amp;yaw, T const &amp;pitch, T const &amp;roll)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z). </div></div>
  357. <div class="ttc" id="a00319_html_gaa39bd323c65c2fc0a1508be33a237ce9"><div class="ttname"><a href="a00319.html#gaa39bd323c65c2fc0a1508be33a237ce9">glm::eulerAngleXZ</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleXZ(T const &amp;angleX, T const &amp;angleZ)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Z). </div></div>
  358. <div class="ttc" id="a00319_html_gacea701562f778c1da4d3a0a1cf091000"><div class="ttname"><a href="a00319.html#gacea701562f778c1da4d3a0a1cf091000">glm::extractEulerAngleXYZ</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleXYZ(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (X * Y * Z) Euler angles from the rotation matrix M. </div></div>
  359. <div class="ttc" id="a00319_html_ga178f966c52b01e4d65e31ebd007e3247"><div class="ttname"><a href="a00319.html#ga178f966c52b01e4d65e31ebd007e3247">glm::eulerAngleZXZ</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleZXZ(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * X * Z). </div></div>
  360. <div class="ttc" id="a00319_html_ga08bef16357b8f9b3051b3dcaec4b7848"><div class="ttname"><a href="a00319.html#ga08bef16357b8f9b3051b3dcaec4b7848">glm::eulerAngleYZX</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleYZX(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * Z * X). </div></div>
  361. <div class="ttc" id="a00319_html_ga400b2bd5984999efab663f3a68e1d020"><div class="ttname"><a href="a00319.html#ga400b2bd5984999efab663f3a68e1d020">glm::eulerAngleZY</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleZY(T const &amp;angleZ, T const &amp;angleY)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * Y). </div></div>
  362. <div class="ttc" id="a00319_html_gacd795f1dbecaf74974f9c76bbcca6830"><div class="ttname"><a href="a00319.html#gacd795f1dbecaf74974f9c76bbcca6830">glm::eulerAngleZYZ</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleZYZ(T const &amp;t1, T const &amp;t2, T const &amp;t3)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * Y * Z). </div></div>
  363. <div class="ttc" id="a00319_html_ga220379e10ac8cca55e275f0c9018fed9"><div class="ttname"><a href="a00319.html#ga220379e10ac8cca55e275f0c9018fed9">glm::eulerAngleYZ</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleYZ(T const &amp;angleY, T const &amp;angleZ)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * Z). </div></div>
  364. <div class="ttc" id="a00319_html_ga7238c8e15c7720e3ca6a45ab151eeabb"><div class="ttname"><a href="a00319.html#ga7238c8e15c7720e3ca6a45ab151eeabb">glm::orientate3</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 3, 3, T, Q &gt; orientate3(vec&lt; 3, T, Q &gt; const &amp;angles)</div><div class="ttdoc">Creates a 3D 3 * 3 rotation matrix from euler angles (Y * X * Z). </div></div>
  365. <div class="ttc" id="a00319_html_ga59359fef9bad92afaca55e193f91e702"><div class="ttname"><a href="a00319.html#ga59359fef9bad92afaca55e193f91e702">glm::extractEulerAngleZXZ</a></div><div class="ttdeci">GLM_FUNC_DECL void extractEulerAngleZXZ(mat&lt; 4, 4, T, defaultp &gt; const &amp;M, T &amp;t1, T &amp;t2, T &amp;t3)</div><div class="ttdoc">Extracts the (Z * X * Z) Euler angles from the rotation matrix M. </div></div>
  366. <div class="ttc" id="a00319_html_ga0a4c56ecce7abcb69508ebe6313e9d10"><div class="ttname"><a href="a00319.html#ga0a4c56ecce7abcb69508ebe6313e9d10">glm::derivedEulerAngleY</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; derivedEulerAngleY(T const &amp;angleY, T const &amp;angularVelocityY)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous derived matrix from the rotation matrix about Y-axis. </div></div>
  367. <div class="ttc" id="a00299_html_ga7603e81477b46ddb448896909bc04928"><div class="ttname"><a href="a00299.html#ga7603e81477b46ddb448896909bc04928">glm::pitch</a></div><div class="ttdeci">GLM_FUNC_DECL T pitch(qua&lt; T, Q &gt; const &amp;x)</div><div class="ttdoc">Returns pitch value of euler angles expressed in radians. </div></div>
  368. <div class="ttc" id="a00319_html_ga483903115cd4059228961046a28d69b5"><div class="ttname"><a href="a00319.html#ga483903115cd4059228961046a28d69b5">glm::eulerAngleZX</a></div><div class="ttdeci">GLM_FUNC_DECL mat&lt; 4, 4, T, defaultp &gt; eulerAngleZX(T const &amp;angle, T const &amp;angleX)</div><div class="ttdoc">Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * X). </div></div>
  369. <div class="ttc" id="a00236_html"><div class="ttname"><a href="a00236.html">glm</a></div><div class="ttdef"><b>Definition:</b> <a href="a00015_source.html#l00020">common.hpp:20</a></div></div>
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